{"id":569168,"date":"2023-05-29T10:26:06","date_gmt":"2023-05-29T04:56:06","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=569168"},"modified":"2025-02-28T15:54:17","modified_gmt":"2025-02-28T10:24:17","slug":"triangle-formulae","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/","title":{"rendered":"Triangle Formula"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#Triangle_Formula\" title=\"Triangle Formula\">Triangle Formula<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#What_are_the_main_formulas_used_to_calculate_the_area_of_a_triangle\" title=\"What are the main formulas used to calculate the area of a triangle? \">What are the main formulas used to calculate the area of a triangle? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#How_can_I_find_the_length_of_an_unknown_side_in_a_triangle\" title=\"How can I find the length of an unknown side in a triangle? \">How can I find the length of an unknown side in a triangle? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#How_can_I_find_the_angles_of_a_triangle_if_I_know_the_lengths_of_its_sides\" title=\"How can I find the angles of a triangle if I know the lengths of its sides? \">How can I find the angles of a triangle if I know the lengths of its sides? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#What_is_the_perimeter_of_a_triangle_and_how_do_I_calculate_it\" title=\"What is the perimeter of a triangle and how do I calculate it?\">What is the perimeter of a triangle and how do I calculate it?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#Can_I_find_the_area_of_a_triangle_without_knowing_its_height\" title=\"Can I find the area of a triangle without knowing its height? \">Can I find the area of a triangle without knowing its height? <\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Triangle_Formula\"><\/span>Triangle Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><b><span data-contrast=\"auto\">What is the Perimeter of a triangle?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559740&quot;:340}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The Perimeter of a triangle is the total length around the triangle. Consider a triangle with sides of lengths \u2018a\u2019, \u2018b\u2019, and \u2018c\u2019.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559737&quot;:2952,&quot;335559740&quot;:438}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <img loading=\"lazy\" class=\"aligncenter wp-image-569201 size-thumbnail\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.29.32-150x150.png\" alt=\"Triangle Formulae \" width=\"150\" height=\"150\" \/><\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Thus, the perimeter of the triangle = a + b + c.<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">What is the Base and Height of a triangle?<\/span><\/b><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The Base of a triangle is the side on which the triangle rests. Any one of the three sides of the triangle can be considered as the base.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:144,&quot;335559740&quot;:271}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The perpendicular drawn from a base to the opposite vertex of a triangle is known as the corresponding Height of the triangle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:648,&quot;335559740&quot;:273}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:648,&quot;335559740&quot;:273}\"><img loading=\"lazy\" class=\"aligncenter wp-image-569193 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.26.46.png\" alt=\"Triangle \" width=\"240\" height=\"194\" \/><\/span><span data-ccp-props=\"{&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559685&quot;:1512,&quot;335559737&quot;:1752}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Triangles with different bases and corresponding heights<\/span><\/b><span data-ccp-props=\"{&quot;335551550&quot;:2,&quot;335551620&quot;:2}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;335551550&quot;:2,&quot;335551620&quot;:2}\"> <img loading=\"lazy\" class=\"aligncenter wp-image-569205 size-large\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.31.06-1024x236.jpg\" alt=\"Triangle with different bases\" width=\"640\" height=\"148\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.31.06-1024x236.jpg?v=1685336474 1024w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.31.06-300x69.jpg?v=1685336474 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.31.06-768x177.jpg?v=1685336474 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.31.06.jpg?v=1685336474 1526w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">For the above triangles, <\/span><span data-contrast=\"auto\">\u210e<\/span><span data-contrast=\"auto\">1<\/span><span data-contrast=\"auto\"> is the corresponding height of base b1, <\/span><span data-contrast=\"auto\">\u210e<\/span><span data-contrast=\"auto\">2 is the corresponding height of base b2,  <\/span><span data-contrast=\"auto\">\u210e<\/span><span data-contrast=\"auto\">3 is the corresponding height of base b3.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559737&quot;:72,&quot;335559740&quot;:313}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559737&quot;:72,&quot;335559740&quot;:313}\"><strong>Question:<\/strong> <\/span><b><span data-contrast=\"auto\">What is the Area of a triangle?<\/span><\/b><span data-ccp-props=\"{}\"> <\/span><\/p>\n<ol>\n<li data-leveltext=\"%1.\" data-font=\"Calibri\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:0,&quot;335559684&quot;:-1,&quot;335559685&quot;:360,&quot;335559991&quot;:360,&quot;469769242&quot;:[65533,0],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;%1.&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">To find the area of the triangle, a base and its corresponding height are considered. Consider a triangle with base \u2018<\/span><i><span data-contrast=\"auto\">b<\/span><\/i><span data-contrast=\"auto\">\u2019 and corresponding height \u2018<\/span><i><span data-contrast=\"auto\">h<\/span><\/i><span data-contrast=\"auto\">\u2019.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:1224,&quot;335559739&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/li>\n<\/ol>\n<p><span data-ccp-props=\"{&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559685&quot;:3768,&quot;335559737&quot;:3768}\"> <\/span><span data-contrast=\"auto\">Then, the area of the triangle = <\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\">1\/2<\/span><span data-contrast=\"auto\">\u00d7 b \u00d7 <\/span><span data-contrast=\"auto\">\u210e<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:199}\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559740&quot;:185}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">That is, area of a triangle is \u00bd times the product of its base and the corresponding height.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559740&quot;:185}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335559740&quot;:185}\"> <\/span><span data-contrast=\"auto\">If the height and base of a triangle is not given and the lengths of all three sides of the triangle are known, Heron&#8217;s formula can be used to calculate the area. Heron&#8217;s formula is a general formula for calculating the area of any triangle using the lengths of its sides.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:0,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Heron\u2019s Formula:<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <img loading=\"lazy\" class=\"size-medium wp-image-569192 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.26.37-300x59.png\" alt=\"\" width=\"300\" height=\"59\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.26.37-300x59.png?v=1685336202 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.26.37.png?v=1685336202 428w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">How is the formula to find the area of a triangle obtained?<\/span><\/b><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Consider a triangle as shown below.<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559685&quot;:3566,&quot;335559737&quot;:3571}\"><img loading=\"lazy\" class=\"size-full wp-image-569193 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.26.46.png\" alt=\"\" width=\"240\" height=\"194\" \/> <\/span><\/p>\n<p><span data-contrast=\"auto\">If the base and the corresponding height of this triangle are <\/span><i><span data-contrast=\"auto\">b <\/span><\/i><span data-contrast=\"auto\">and <\/span><i><span data-contrast=\"auto\">h<\/span><\/i><span data-contrast=\"auto\"> respectively, then the area of this triangle is <\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\">1\/2<\/span><span data-contrast=\"auto\">\u00d7 b \u00d7 <\/span><span data-contrast=\"auto\">\u210e<\/span><span data-contrast=\"auto\">. Let us verify this using the following steps.<\/span><span data-ccp-props=\"{&quot;335559737&quot;:72}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Step 1: <\/span><\/b><span data-contrast=\"auto\">Consider a copy of the same triangle along with the original one.<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;335559685&quot;:2736,&quot;335559737&quot;:2050}\"> <img loading=\"lazy\" class=\"size-medium wp-image-569206 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.05-300x104.png\" alt=\"\" width=\"300\" height=\"104\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.05-300x104.png?v=1685336589 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.05-1024x355.png?v=1685336589 1024w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.05-768x266.png?v=1685336589 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.05.png?v=1685336589 1026w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-contrast=\"auto\">Since, both the triangles are congruent, they will have the same area.<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Step 2: <\/span><\/b><span data-contrast=\"auto\">The second triangle is flipped horizontally and then vertically, it will be as shown below.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:720,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <img loading=\"lazy\" class=\"size-medium wp-image-569207 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.32-300x124.png\" alt=\"\" width=\"300\" height=\"124\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.32-300x124.png?v=1685336617 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.32-1024x423.png?v=1685336617 1024w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.32-768x317.png?v=1685336617 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.33.32.png?v=1685336617 1036w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><b><span data-contrast=\"auto\">Step 3: <\/span><\/b><span data-contrast=\"auto\">Combining these two triangles, we give us a quadrilateral as shown below.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:230}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:2,&quot;335551620&quot;:2,&quot;335559740&quot;:230}\"> <img loading=\"lazy\" class=\"size-medium wp-image-569208 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.34.27-300x196.png\" alt=\"\" width=\"300\" height=\"196\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.34.27-300x196.png?v=1685336670 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.34.27.png?v=1685336670 764w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-ccp-props=\"{&quot;335559685&quot;:3312,&quot;335559737&quot;:2141}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The area of this quadrilateral will be the sum of the areas of the two triangles. But areas of both the triangles are the same.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:271}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">So, Area of the quadrilateral = 2 x Area of a triangle.<\/span> <span data-contrast=\"auto\">&#8230;<\/span> <span data-contrast=\"auto\">(i)<\/span><span data-ccp-props=\"{&quot;469777462&quot;:[5778,6758],&quot;469777927&quot;:[0,0],&quot;469777928&quot;:[1,4]}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Step 4: <\/span><\/b><span data-contrast=\"auto\">Now, the quadrilateral is fragmented as shown below.<\/span><\/p>\n<p><b><span data-contrast=\"auto\">Step 5: <\/span><\/b><span data-contrast=\"auto\">We will rearrange the fragmented portion to get a rectangle as shown below,<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Here, the length of the rectangle is <\/span><i><span data-contrast=\"auto\">b<\/span><\/i><span data-contrast=\"auto\"> and the breadth of the rectangle is <\/span><i><span data-contrast=\"auto\">h<\/span><\/i><span data-contrast=\"auto\">.<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <img loading=\"lazy\" class=\"size-medium wp-image-569209 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.30-300x138.png\" alt=\"\" width=\"300\" height=\"138\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.30-300x138.png?v=1685336734 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.30-768x354.png?v=1685336734 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.30.png?v=1685336734 1008w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\"><img loading=\"lazy\" class=\"size-medium wp-image-569210 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.43-300x203.png\" alt=\"\" width=\"300\" height=\"203\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.43-300x203.png?v=1685336746 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.35.43.png?v=1685336746 762w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/>A<\/span><\/p>\n<p><span data-contrast=\"auto\">rea of rectangle = L x B<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">So, area of rectangle = b x h \u2026.<\/span> <span data-contrast=\"auto\">(ii)<\/span><span data-ccp-props=\"{&quot;469777462&quot;:[3864],&quot;469777927&quot;:[0],&quot;469777928&quot;:[4]}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Also, the area of the rectangle = area of the quadrilateral from step 3 \u2026.. (iii)<\/span><span data-ccp-props=\"{&quot;469777462&quot;:[7224,8237],&quot;469777927&quot;:[0,0],&quot;469777928&quot;:[1,4]}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">From (i), (ii), and (iii),<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">2 x Area of triangle = b x h<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Hence, Area of triangle =<\/span><span data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot; display=&quot;block&quot;&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;\/mn&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/mfrac&gt;&lt;\/math&gt;\">1\/2<\/span><span data-contrast=\"auto\">\u00d7 b \u00d7 <\/span><span data-contrast=\"auto\">\u210e<\/span><\/p>\n<p><b><span data-contrast=\"auto\">Solved Examples on Triangle Formulae:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:196}\"> <\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Example 1.<\/span><\/b><span data-contrast=\"auto\"> If the base and the corresponding height of a triangle is 10 cm and 4 cm respectively, then its area is given by,<\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{}\"> <img loading=\"lazy\" class=\"size-medium wp-image-569211 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.37.02-300x101.png\" alt=\"\" width=\"300\" height=\"101\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.37.02-300x101.png?v=1685336825 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.37.02-768x259.png?v=1685336825 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.37.02.png?v=1685336825 830w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span data-contrast=\"auto\">So, the area of the triangle is 20<\/span><span data-contrast=\"auto\">\ud835\udc50\ud835\udc5a<\/span><span data-contrast=\"auto\">2<\/span><span data-contrast=\"auto\">.<\/span><span data-ccp-props=\"{}\"> <\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Example 2.<\/span><\/b><span data-contrast=\"auto\"> If the sides of a triangle are 13 cm, 10 cm, and 5 cm, then its perimeter is given by, Perimeter of the triangle = a + b + c<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559737&quot;:1152,&quot;335559738&quot;:36,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">= 13 + 10 + 5<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:2448,&quot;335559738&quot;:36,&quot;335559740&quot;:196}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">= 28 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:2448,&quot;335559738&quot;:72,&quot;335559740&quot;:196}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">So, the perimeter of the triangle is 28 cm.<\/span><span data-ccp-props=\"{&quot;335559738&quot;:108}\"> <\/span><span data-ccp-props=\"{}\"> <\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>Learn More Formulas: <\/strong><\/span><\/p>\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/trapezoidal-rule-formula\">Trapezoidal Rule Formula<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/area-of-an-octagon-formula\">Area Of An Octagon Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/diagonal-of-a-polygon-formula\">Diagonal Of A Polygon Formula<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/distributive-property-formula\">Distributive Property Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/isosceles-triangle-perimeter-formula\">Isosceles Triangle Perimeter Formula<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/cube-root-formula\">Cube Root Formula<\/a><\/strong><\/td>\n<\/tr>\n<tr>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/hexagon-formula\">Hexagon Formula<\/a><\/strong><\/td>\n<td><strong><a href=\"https:\/\/infinitylearn.com\/surge\/perimeter-of-hexagon-formula\">Perimeter of Hexagon Formu<\/a><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"font-size: 14pt;\"><b>Frequently asked questions on Triangle Formulae:<\/b><\/span><\/p>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_are_the_main_formulas_used_to_calculate_the_area_of_a_triangle\"><\/span>What are the main formulas used to calculate the area of a triangle? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe main formulas to calculate the area of a triangle depend on the given information. For a triangle with base 'b' and height 'h', the formula is Area = (1\/2) * b * h. If the lengths of the three sides of the triangle are known, you can use Heron's formula: Area = \u221a(s * (s - a) * (s - b) * (s - c)), where 's' is the semi-perimeter and 'a', 'b', and 'c' are the lengths of the sides.  \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"How_can_I_find_the_length_of_an_unknown_side_in_a_triangle\"><\/span>How can I find the length of an unknown side in a triangle? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo find the length of an unknown side in a triangle, you can use various formulas, such as the Pythagorean Theorem for right triangles or the law of cosines for non-right triangles. The specific formula used depends on the information given, such as the lengths of other sides and angles of the triangle.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"How_can_I_find_the_angles_of_a_triangle_if_I_know_the_lengths_of_its_sides\"><\/span>How can I find the angles of a triangle if I know the lengths of its sides? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tTo find the angles of a triangle when the lengths of its sides are known, you can use the law of cosines or the law of sines. The law of cosines is applicable to all triangles, while the law of sines is specifically useful for solving triangles that are not right triangles.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"What_is_the_perimeter_of_a_triangle_and_how_do_I_calculate_it\"><\/span>What is the perimeter of a triangle and how do I calculate it?<span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe perimeter of a triangle is the sum of the lengths of its three sides. To calculate the perimeter, you simply add up the lengths of the three sides. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h4><span class=\"ez-toc-section\" id=\"Can_I_find_the_area_of_a_triangle_without_knowing_its_height\"><\/span>Can I find the area of a triangle without knowing its height? <span class=\"ez-toc-section-end\"><\/span><\/h4>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYes, you can find the area of a triangle without knowing its height if you have the lengths of its sides. By using Heron's formula, you can calculate the area based on the lengths of the sides alone, without explicitly needing the height. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the main formulas used to calculate the area of a triangle? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The main formulas to calculate the area of a triangle depend on the given information. For a triangle with base 'b' and height 'h', the formula is Area = (1\/2) * b * h. If the lengths of the three sides of the triangle are known, you can use Heron's formula: Area = \u221a(s * (s - a) * (s - b) * (s - c)), where 's' is the semi-perimeter and 'a', 'b', and 'c' are the lengths of the sides.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How can I find the length of an unknown side in a triangle? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To find the length of an unknown side in a triangle, you can use various formulas, such as the Pythagorean Theorem for right triangles or the law of cosines for non-right triangles. The specific formula used depends on the information given, such as the lengths of other sides and angles of the triangle.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How can I find the angles of a triangle if I know the lengths of its sides? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"To find the angles of a triangle when the lengths of its sides are known, you can use the law of cosines or the law of sines. The law of cosines is applicable to all triangles, while the law of sines is specifically useful for solving triangles that are not right triangles.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the perimeter of a triangle and how do I calculate it?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The perimeter of a triangle is the sum of the lengths of its three sides. To calculate the perimeter, you simply add up the lengths of the three sides.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Can I find the area of a triangle without knowing its height? \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, you can find the area of a triangle without knowing its height if you have the lengths of its sides. By using Heron's formula, you can calculate the area based on the lengths of the sides alone, without explicitly needing the height.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Triangle Formula What is the Perimeter of a triangle? The Perimeter of a triangle is the total length around the [&hellip;]<\/p>\n","protected":false},"author":43,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Triangle Formulae","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn more about Triangle Formulae, concepts, derivations, formulas, shapes. Register free for online session clear all your queries.","custom_permalink":""},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Triangle Formula - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn more about Triangle Formulae, concepts, derivations, formulas, shapes. Register free for online session clear all your queries.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Triangle Formula - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn more about Triangle Formulae, concepts, derivations, formulas, shapes. Register free for online session clear all your queries.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-05-29T04:56:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-28T10:24:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.29.32-150x150.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"varun\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Triangle Formula - Infinity Learn by Sri Chaitanya","description":"Learn more about Triangle Formulae, concepts, derivations, formulas, shapes. Register free for online session clear all your queries.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/","og_locale":"en_US","og_type":"article","og_title":"Triangle Formula - Infinity Learn by Sri Chaitanya","og_description":"Learn more about Triangle Formulae, concepts, derivations, formulas, shapes. Register free for online session clear all your queries.","og_url":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2023-05-29T04:56:06+00:00","article_modified_time":"2025-02-28T10:24:17+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.29.32-150x150.png"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"varun","Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.29.32.png?v=1685336378","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.29.32.png?v=1685336378","width":564,"height":574},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/","name":"Triangle Formula - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#primaryimage"},"datePublished":"2023-05-29T04:56:06+00:00","dateModified":"2025-02-28T10:24:17+00:00","description":"Learn more about Triangle Formulae, concepts, derivations, formulas, shapes. Register free for online session clear all your queries.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/triangle-formulae\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Triangle Formula"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/5ce7277d9ab7ed525fe66ce5d536f6d8"},"headline":"Triangle Formula","datePublished":"2023-05-29T04:56:06+00:00","dateModified":"2025-02-28T10:24:17+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#webpage"},"wordCount":928,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/triangle-formulae\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.29.32-150x150.png","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/5ce7277d9ab7ed525fe66ce5d536f6d8","name":"varun","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/8daaf09eff315c1ca69a7dd5fb286fb0?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8daaf09eff315c1ca69a7dd5fb286fb0?s=96&d=mm&r=g","caption":"varun"},"url":"https:\/\/infinitylearn.com\/surge\/author\/varun\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/569168"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/43"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=569168"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/569168\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=569168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=569168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=569168"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=569168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}