{"id":569170,"date":"2023-05-29T10:46:27","date_gmt":"2023-05-29T05:16:27","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=569170"},"modified":"2024-12-20T11:13:32","modified_gmt":"2024-12-20T05:43:32","slug":"area-of-isosceles-triangle","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/","title":{"rendered":"Area of Isosceles Triangle\u00a0"},"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\/area-of-isosceles-triangle\/#Area_of_Isosceles_Triangle\" title=\"Area of Isosceles Triangle\">Area of Isosceles Triangle<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#Area_of_the_triangle\" title=\"Area of the triangle\">Area of the triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#Herons_Formula\" title=\"Heron\u2019s Formula\">Heron\u2019s Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#Solved_Examples_on_the_Area_of_Isosceles_Triangle\" title=\"Solved Examples on the Area of Isosceles Triangle\">Solved Examples on the Area of Isosceles Triangle<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#Frequently_Asked_Questions_on_Area_of_Isosceles_Triangle\" title=\"Frequently Asked Questions on Area of Isosceles Triangle\">Frequently Asked Questions on Area of Isosceles Triangle<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#How_do_you_find_the_height_and_area_of_an_isosceles_triangle\" title=\"How do you find the height and area of an isosceles triangle?\">How do you find the height and area of an isosceles triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#What_is_the_formula_of_area_of_an_isosceles_triangle\" title=\"What is the formula of area of an isosceles triangle?\">What is the formula of area of an isosceles triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#What_is_the_area_of_the_right_angle_triangle_and_isosceles_triangle\" title=\"What is the area of the right angle triangle and isosceles triangle?\">What is the area of the right angle triangle and isosceles triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#What_is_the_area_of_the_isosceles_triangle_Class_9\" title=\"What is the area of the isosceles triangle Class 9?\">What is the area of the isosceles triangle Class 9?<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#What_is_the_area_to_find_isosceles_triangle\" title=\"What is the area to find isosceles triangle?\">What is the area to find isosceles triangle?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#What_is_the_formula_for_the_isosceles_right_triangle\" title=\"What is the formula for the isosceles right triangle?\">What is the formula for the isosceles right triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#What_is_the_area_of_an_isosceles_triangle_with_sides\" title=\"What is the area of an isosceles triangle with sides?\">What is the area of an isosceles triangle with sides?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/area-of-isosceles-triangle\/#How_to_find_the_area_of_an_isosceles_triangle_without_height\" title=\"How to find the area of an isosceles triangle without height?\">How to find the area of an isosceles triangle without height?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_Isosceles_Triangle\"><\/span>Area of Isosceles Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/\"><strong>isosceles triangle<\/strong><\/a> is a type of triangle that has two sides of equal length and two equal angles opposite those sides. The area of an isosceles triangle is a fundamental concept in geometry and can be determined using various methods.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-569221\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.44.48-282x300.png\" alt=\"\" width=\"282\" height=\"300\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.44.48-282x300.png?v=1685337291 282w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.44.48.png?v=1685337291 408w\" sizes=\"(max-width: 282px) 100vw, 282px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Area_of_the_triangle\"><\/span><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/\"><strong>Area of the triangle<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The most common way to calculate the area of an isosceles triangle is by utilizing the base and height of the triangle. The base refers to the length of the unequal side, while the height represents the perpendicular distance from the base to the opposite vertex or the midpoint of the base.<\/p>\n<p>The formula to find the area of an isosceles triangle using the base and height is:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-569222\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.44.59.png\" alt=\"\" width=\"238\" height=\"78\" \/><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Herons_Formula\"><\/span>Heron\u2019s Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In this formula, the base and height are multiplied by half to obtain the area. It is important to ensure that the height is measured perpendicularly to the base for accurate calculations.<\/p>\n<p>If the lengths of all three sides of the isosceles 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.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-569192\" 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\" \/><\/p>\n<p>Where, s is the semi perimeter of the triangle and a, b and c are lengths of sides of a triangle.<\/p>\n<p>Substituting the lengths of an isosceles triangle, we get,<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-569223\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.45.16-300x108.png\" alt=\"\" width=\"300\" height=\"108\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.45.16-300x108.png?v=1685337321 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/05\/Screenshot-2023-05-29-at-10.45.16.png?v=1685337321 334w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:360,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p>It is important to note that the area of an isosceles triangle is always non-negative and is expressed in square units, such as square centimetres (cm\u00b2) or square inches (in\u00b2).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Solved_Examples_on_the_Area_of_Isosceles_Triangle\"><\/span>Solved Examples on the Area of Isosceles Triangle<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Example 1.<\/strong> In an isosceles triangle, the lengths of the two equal sides are both 5 inches, and the height is 4 inches. Find its area.<\/p>\n<p>Solution:<\/p>\n<p>Using the formula for the area of an isosceles triangle:<\/p>\n<p>Area = (1\/2) x side length x height<\/p>\n<p>Area = (1\/2) x 5 inches x 4 inches<\/p>\n<p>Area = 10 square inches<\/p>\n<p>Therefore, the area of the isosceles triangle is 10 square inches.<\/p>\n<p><strong>Example 2.<\/strong> Given an isosceles triangle with a base of length 8 cm and a height of 6 cm. Find its area.<\/p>\n<p>Solution:<\/p>\n<p>Using the formula for the area of an isosceles triangle:<\/p>\n<p>Area = (1\/2) x base x height<\/p>\n<p>Area = (1\/2) x 8 cm x 6 cm<\/p>\n<p>Area = 24 square cm<\/p>\n<p>Therefore, the area of the isosceles triangle is 24 square cm.<\/p>\n<p><strong>Example 3.<\/strong> An isosceles triangle has side lengths of 7 cm, 7 cm, and 10 cm. Calculate its area.<\/p>\n<p>Solution:<\/p>\n<p>Using Heron&#8217;s formula to find the area of the isosceles triangle:<\/p>\n<p>Semi-perimeter, s = (7 cm + 7 cm + 10 cm) \/ 2 = 12 cm<\/p>\n<p>Area = \u221a(s x (s &#8211; a) x (s &#8211; b) x (s &#8211; c))<\/p>\n<p>Area = \u221a(12 cm x (12 cm &#8211; 7 cm) x (12 cm &#8211; 7 cm) x (12 cm &#8211; 10 cm))<\/p>\n<p>Area = \u221a(12 cm x 5 cm x 5 cm x 2 cm)<\/p>\n<p>Area = \u221a600 square cm \u2248 24.49 square cm<\/p>\n<p>Therefore, the area of the isosceles triangle is approximately 24.49 square cm.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Area_of_Isosceles_Triangle\"><\/span>Frequently Asked Questions on Area of Isosceles Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_do_you_find_the_height_and_area_of_an_isosceles_triangle\"><\/span>How do you find the height and area of an isosceles triangle?<span class=\"ez-toc-section-end\"><\/span><\/h3>\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 height, divide the triangle into two right triangles by drawing a perpendicular line from the base to the top vertex. Use the Pythagorean theorem to find the height. For the area, use the formula: Area = (base \u00d7 height) \/ 2.\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<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_of_area_of_an_isosceles_triangle\"><\/span>What is the formula of area of an isosceles triangle?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe formula is: Area = (base \u00d7 height) \/ 2.\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<h3><span class=\"ez-toc-section\" id=\"What_is_the_area_of_the_right_angle_triangle_and_isosceles_triangle\"><\/span>What is the area of the right angle triangle and isosceles triangle?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tFor a right angle triangle: Area = (base \u00d7 height) \/ 2. For an isosceles triangle: Area = (base \u00d7 height) \/ 2.\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<h3><span class=\"ez-toc-section\" id=\"What_is_the_area_of_the_isosceles_triangle_Class_9\"><\/span>What is the area of the isosceles triangle Class 9?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe formula to find the area remains the same: Area = (base \u00d7 height) \/ 2.\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<h2><span class=\"ez-toc-section\" id=\"What_is_the_area_to_find_isosceles_triangle\"><\/span>What is the area to find isosceles triangle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYou can find the area of an isosceles triangle using the formula: Area = (base \u00d7 height) \/ 2.\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<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_for_the_isosceles_right_triangle\"><\/span>What is the formula for the isosceles right triangle?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tFor an isosceles right triangle, the formula for the area is: Area = (leg \u00d7 leg) \/ 2, as both legs are equal in length.\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<h3><span class=\"ez-toc-section\" id=\"What_is_the_area_of_an_isosceles_triangle_with_sides\"><\/span>What is the area of an isosceles triangle with sides?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIf you know the length of the sides, you can find the base and height using the Pythagorean theorem, then apply the formula: Area = (base \u00d7 height) \/ 2.\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<h3><span class=\"ez-toc-section\" id=\"How_to_find_the_area_of_an_isosceles_triangle_without_height\"><\/span>How to find the area of an isosceles triangle without height?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIf you know the lengths of all three sides, you can use Heron's Formula to find the area. First find the semi-perimeter (s) using the formula s = (a + b + c) \/ 2, where a, b, and c are the lengths of the sides. Then the area is given by: Area = \u221a{s(s - a)(s - b)(s - c)}.\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\": \"How do you find the height and area of an isosceles 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 height, divide the triangle into two right triangles by drawing a perpendicular line from the base to the top vertex. Use the Pythagorean theorem to find the height. For the area, use the formula: Area = (base \u00d7 height) \/ 2.\"\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 formula of area of an isosceles triangle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula is: Area = (base \u00d7 height) \/ 2.\"\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 area of the right angle triangle and isosceles triangle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"For a right angle triangle: Area = (base \u00d7 height) \/ 2. For an isosceles triangle: Area = (base \u00d7 height) \/ 2.\"\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 area of the isosceles triangle Class 9?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The formula to find the area remains the same: Area = (base \u00d7 height) \/ 2.\"\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 area to find isosceles triangle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"You can find the area of an isosceles triangle using the formula: Area = (base \u00d7 height) \/ 2.\"\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 formula for the isosceles right triangle?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"For an isosceles right triangle, the formula for the area is: Area = (leg \u00d7 leg) \/ 2, as both legs are equal in length.\"\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 area of an isosceles triangle with sides?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"If you know the length of the sides, you can find the base and height using the Pythagorean theorem, then apply the formula: Area = (base \u00d7 height) \/ 2.\"\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 to find the area of an isosceles triangle without height?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"If you know the lengths of all three sides, you can use Heron's Formula to find the area. First find the semi-perimeter (s) using the formula s = (a + b + c) \/ 2, where a, b, and c are the lengths of the sides. Then the area is given by: Area = \u221a{s(s - a)(s - b)(s - c)}.\"\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>Area of Isosceles Triangle An isosceles triangle is a type of triangle that has two sides of equal length and [&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":"Area of Isosceles Triangle","_yoast_wpseo_title":"Area of Isosceles Triangle - Definition, Heron\u2019s Formula & Solved Example","_yoast_wpseo_metadesc":"The area of an isosceles triangle is given by the formula: Area = (base \u00d7 height) \/ 2. Find the height by drawing a line from the base to the top, then apply the formula.","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>Area of Isosceles Triangle - Definition, Heron\u2019s Formula &amp; Solved Example<\/title>\n<meta name=\"description\" content=\"The area of an isosceles triangle is given by the formula: Area = (base \u00d7 height) \/ 2. 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