{"id":153732,"date":"2022-03-25T22:45:01","date_gmt":"2022-03-25T17:15:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/isosceles-triangle-definition-formulae-properties-solved-examples-dimensions\/"},"modified":"2022-12-27T14:35:10","modified_gmt":"2022-12-27T09:05:10","slug":"isosceles-triangle-definition-formulae-properties-solved-examples-dimensions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/","title":{"rendered":"Isosceles Triangle &#8211; Definition, Formulae, Properties, Solved Examples"},"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\/maths\/properties-of-isosceles-triangle\/#Isosceles_Triangle\" title=\"Isosceles Triangle\">Isosceles Triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/#Properties_of_Isosceles_Triangle\" title=\"Properties of Isosceles Triangle\">Properties of Isosceles Triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/#Area_of_isosceles_triangle\" title=\"Area of isosceles triangle =\">Area of isosceles triangle =<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/#Perimeter_of_isosceles_triangle_2a_b\" title=\"Perimeter of isosceles triangle = 2a + b\">Perimeter of isosceles triangle = 2a + b<\/a><\/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\/maths\/properties-of-isosceles-triangle\/#on_Isosceles_Triangles\" title=\"on Isosceles Triangles\">on Isosceles Triangles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/#Few_More_Properties_of_Isosceles_Triangle\" title=\"Few More Properties of Isosceles Triangle\">Few More Properties of Isosceles Triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/#Height_and_Area_of_an_Isosceles_Triangle_Formula\" title=\"Height and Area of an Isosceles Triangle Formula\">Height and Area of an Isosceles Triangle Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/#Miscellaneous_Examples_on_Isosceles_Triangles\" title=\"Miscellaneous Examples on Isosceles Triangles\">Miscellaneous Examples on Isosceles Triangles<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Isosceles_Triangle\"><\/span>Isosceles Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Isosceles Triangle &#8211; Definition: An isosceles triangle is a triangle with two sides of equal length. The word &#8220;isosceles&#8221; comes from the Greek word for &#8220;equal-sided.&#8221; An isosceles triangle has two angles of equal measure, and the two angles add up to 180 degrees, just like any other triangle. The two equal sides are called the &#8220;legs&#8221; of the triangle, and the third side is called the &#8220;base.&#8221; The point where the two legs meet is called the &#8220;vertex.&#8221;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Isosceles_Triangle\"><\/span>Properties of Isosceles Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The properties of <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-isosceles-triangle\/\">isosceles<\/a> triangle are as follows:<\/p>\n<p>1. The two sides that are equal in length are called the base and the height.<\/p>\n<p>2. The angles opposite the base and the height are both equal.<\/p>\n<p>3. The triangle is isosceles if and only if the base and height are equal.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-153731 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/isosceles-triangle-definition-formulae-properties-solved-examples-dimensions.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/isosceles-triangle-definition-formulae-properties-solved-examples-dimensions.jpg?v=1648228499 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/isosceles-triangle-definition-formulae-properties-solved-examples-dimensions-300x212.jpg?v=1648228499 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\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>base \u00d7 height<\/p>\n<p>The area of an isosceles triangle is equal to the base multiplied by the height.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Perimeter_of_isosceles_triangle_2a_b\"><\/span>Perimeter of isosceles triangle = 2a + b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Perimeter of an isosceles triangle is calculated by adding the length of both of its equal sides. In this example, a = 3 and b = 4, so the perimeter is 2a + b = 2(3) + 4 = 10.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"on_Isosceles_Triangles\"><\/span>on Isosceles Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Draw an isosceles triangle with two equal sides of length .<\/li>\n<li>the altitude from the base to the opposite vertex.<\/li>\n<li>Draw the bisector of the base angle.<\/li>\n<li>the bisector of the other base angle.<\/li>\n<li>Connect the points where the altitude, bisectors, and base angles intersect.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Few_More_Properties_of_Isosceles_Triangle\"><\/span>Few More Properties of Isosceles Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In an isosceles triangle, the length of the two equal sides are the same.<\/p>\n<p>The base angles of an isosceles triangle are also equal.<\/p>\n<p>The height of an isosceles triangle is the length of the line segment from the base to the apex.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Height_and_Area_of_an_Isosceles_Triangle_Formula\"><\/span>Height and Area of an Isosceles Triangle Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The height of an isosceles triangle is the length of its <a href=\"https:\/\/en.wikipedia.org\/wiki\/Bisection#Line_segment_bisector\">perpendicular bisector<\/a>. The area of an isosceles triangle is half the base times the height.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Miscellaneous_Examples_on_Isosceles_Triangles\"><\/span>Miscellaneous Examples on Isosceles Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. A triangle is isosceles if two of its sides are of the same length.<\/p>\n<p>2. A triangle is isosceles if its base and height are of the same length.<\/p>\n<p>3. A triangle is isosceles if its angles are of the same measure.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Isosceles Triangle Isosceles Triangle &#8211; Definition: An isosceles triangle is a triangle with two sides of equal length. The word [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Isosceles Triangle - Definition","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about Properties of Isosceles Triangles in detail on infinitylearn.com. Know more about the Isosceles Triangle on infinitylearn.com.","custom_permalink":"maths\/properties-of-isosceles-triangle\/"},"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>Isosceles Triangle - Definition, Formulae, Properties, Solved Examples<\/title>\n<meta name=\"description\" content=\"Learn about Properties of Isosceles Triangles in detail on infinitylearn.com. 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