{"id":31925,"date":"2023-07-16T12:34:00","date_gmt":"2023-07-16T12:34:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31925"},"modified":"2023-07-24T02:18:18","modified_gmt":"2023-07-24T02:18:18","slug":"perimeter-of-isosceles-triangle-definition-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle","title":{"rendered":"Perimeter of Isosceles Triangle &#8211; Definition, Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-dd89f039-7a39-4f6b-bdb0-252b909f570d\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle#0-what-is-the-perimeter-of-an-isosceles-triangle>What Is the Perimeter of an Isosceles Triangle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle#1-perimeter-of-an-isosceles-triangle-formula>Perimeter of an Isosceles Triangle Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle#3-how-to-find-the-perimeter-of-an-isosceles-triangle>How to Find the Perimeter of an Isosceles Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle#8-solved-examples-on-perimeter-of-an-isosceles-triangle>Solved Examples on Perimeter of an Isosceles Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle#9-practice-problems-on-perimeter-of-an-isosceles-triangle>Practice Problems on Perimeter of an Isosceles Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle#10-frequently-asked-questions-on-perimeter-of-an-isosceles-triangle>Frequently Asked Questions on Perimeter of an Isosceles Triangle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-perimeter-of-an-isosceles-triangle\">What Is the Perimeter of an Isosceles Triangle?<\/h2>\n\n\n\n<p><strong>The perimeter of an isosceles triangle is the sum of all its sides. It is given by <\/strong>$2x + y$<strong>, where x is the length of two equal sides and y is the length of the remaining side.<\/strong><\/p>\n\n\n\n<p>The perimeter is defined as the total length of the boundary of a shape. It is the sum of all the sides of the shape. A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\">triangle<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\">polygon<\/a> with three sides. So, what is the formula for <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle\">perimeter of a triangle<\/a>? It is simply the sum of all three sides of the triangle.&nbsp;<\/p>\n\n\n\n<p>An <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/isosceles-triangle\">isosceles triangle<\/a> is a type of triangle that has two sides of the same length. Also, the angles opposite to the equal sides (known as the base angles) are congruent.<\/p>\n\n\n\n<p>In the given $\\Delta ABC$, AB and AC are two equal sides. Angles B and C are congruent.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"371\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/isosceles-triangle.png\" alt=\"Isosceles Triangle\" class=\"wp-image-31935\" title=\"Isosceles Triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/isosceles-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/isosceles-triangle-300x180.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles-and-rectangles-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles and Rectangles as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_triangles_pt.png\" alt=\"Classify Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-perimeter\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_with_missing_side_2_pt.png\" alt=\"Determine the Perimeter Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Perimeter Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-perimeter-of-regular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_with_missing_side_1_pt.png\" alt=\"Determine the Perimeter of Regular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Determine the Perimeter of Regular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-perimeter-of-irregular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_monsters_in_city_6_gm.png\" alt=\"Find Perimeter of Irregular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Perimeter of Irregular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-perimeter-of-regular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_monsters_in_city_7_gm.png\" alt=\"Find Perimeter of Regular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Perimeter of Regular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-perimeter-using-side-lengths\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_monsters_in_city_5_gm.png\" alt=\"Find Perimeter using side lengths Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Perimeter using side lengths Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-irregular-shapes\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_irregular_pt.png\" alt=\"Find the Perimeter of Irregular Shapes Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of Irregular Shapes Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-polygons\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_1_pt.png\" alt=\"FInd the Perimeter of Polygons Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">FInd the Perimeter of Polygons Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-perimeter-of-an-isosceles-triangle-formula\">Perimeter of an Isosceles Triangle Formula<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"338\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/perimeter-of-an-isosceles-triangle-formula.png\" alt=\"Formula for perimeter of isosceles triangle\" class=\"wp-image-31937\" title=\"Formula for perimeter of isosceles triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/perimeter-of-an-isosceles-triangle-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/perimeter-of-an-isosceles-triangle-formula-300x164.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>The formula for the perimeter of an isosceles triangle is given by&nbsp;<\/p>\n\n\n\n<p><strong>Perimeter <\/strong>$= 2x + y$<\/p>\n\n\n\n<p>where, x is the length of the equal sides and y is the unequal side of the isosceles triangle.&nbsp;<\/p>\n\n\n\n<p>Perimeter is measured in linear units such as inches, yards, etc., same as the length of the sides of the triangle.<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rectangles-and-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/separate-out-the-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-derivation-of-the-formula-for-perimeter-of-an-isosceles-triangle\">Derivation of the Formula for Perimeter of an Isosceles Triangle<\/h2>\n\n\n\n<p>We know that the perimeter of a triangle is the sum of all its sides. Thus, if the side-lengths of a triangle are given by x, y, and z, then we can find the perimeter as<\/p>\n\n\n\n<p>Perimeter of a triangle $= (x + y + z)$ units<\/p>\n\n\n\n<p>Now, take a look at the isosceles triangle shown below where two sides are equal.<\/p>\n\n\n\n<p>Thus, substitute $x = z$<\/p>\n\n\n\n<p>Perimeter of an isosceles triangle $= x + y + x =&nbsp; (2x + y)$ units<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"411\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/isosceles-triangle-example.png\" alt=\"An Isosceles Triangle with sides x and y\" class=\"wp-image-31938\" title=\"An Isosceles Triangle with sides x and y\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/isosceles-triangle-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/isosceles-triangle-example-300x199.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-find-the-perimeter-of-an-isosceles-triangle\">How to Find the Perimeter of an Isosceles Triangle<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Note down the lengths of sides. Let the \u201cx\u201d be the length of equal sides, and \u201cy\u201d be the length of the unequal side. Make sure that all the sides have the same unit.&nbsp;<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Substitute the values in the formula.&nbsp;<\/p>\n\n\n\n<p>Perimeter of an isosceles triangle $= (2x + y)$ units.<\/p>\n\n\n\n<p><strong>Step 3<\/strong>: Assign the appropriate unit, which will be the same as the length of the sides.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-perimeter-of-isosceles-right-triangle\">Perimeter of Isosceles Right Triangle<\/h2>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/isosceles-right-triangle\">Isosceles right triangle<\/a>, as the name itself suggests, is a triangle with one <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\">right angle<\/a> and two equal sides.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/perimeter-of-an-isosceles-right-triangle.png\" alt=\"Perimeter of isosceles right triangle\" class=\"wp-image-31939\" title=\"Perimeter of isosceles right triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/perimeter-of-an-isosceles-right-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/perimeter-of-an-isosceles-right-triangle-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In the given isosceles right triangle PQR, the sides PQ and QR are equal. These sides represent the legs (base and altitude) of the right triangle. The angle Q is a right angle.<\/p>\n\n\n\n<p><strong>Perimeter of an isosceles right triangle <\/strong>$= 2l + h$<\/p>\n\n\n\n<p>If we don\u2019t know the length of the hypotenuse, we can find it using Pythagoras\u2019 theorem.<\/p>\n\n\n\n<p>By Pythagoras\u2019 theorem,&nbsp;<\/p>\n\n\n\n<p>$Hypotenuse^{2} = Base^{2} + Perpendicular^{2}$<\/p>\n\n\n\n<p>Thus, $h^{2} = l^{2} + l^{2}$<\/p>\n\n\n\n<p>$h^{2} = 2l^{2}$<\/p>\n\n\n\n<p>$h = \\sqrt{2\\;l}$<\/p>\n\n\n\n<p><strong>Calculating the Perimeter of an Isosceles Right Triangle if Hypotenuse Is Given<\/strong><\/p>\n\n\n\n<p>We have $h = \\sqrt{2\\; l}<\/p>\n\n\n\n<p>Thus, $l = \\frac{h}{\\sqrt{2}}$<\/p>\n\n\n\n<p>Perimeter $= h + 2 \\frac{h}{\\sqrt{2}} = h (1 + \\frac{2}{\\sqrt{2}})$<\/p>\n\n\n\n<p>Perimeter of isosceles right triangle $= h (1 + \\sqrt{2})$<\/p>\n\n\n\n<p><strong>Calculating the Perimeter of an Isosceles Right Triangle if Length Is Given<\/strong><\/p>\n\n\n\n<p>We have h = 2 l&nbsp;<\/p>\n\n\n\n<p>We can rewrite the formula <strong>&nbsp;<\/strong>$(2l + h)$ as<\/p>\n\n\n\n<p>Perimeter $= 2l + \\sqrt{2\\; l}$<\/p>\n\n\n\n<p><strong>Perimeter of an isosceles right triangle <\/strong>$= (2 + \\sqrt{2})\\;l$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-finding-the-perimeter-of-an-isosceles-triangle-with-base-and-height\">Finding the Perimeter of an Isosceles Triangle with Base and Height<\/h2>\n\n\n\n<p>If we know the base and height, all we need to find here is the length of the equal sides.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"345\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Perimeter-of-Isosceles-Triangle-5.png\" alt=\"Isosceles triangle ABC\" class=\"wp-image-31941\" title=\"Isosceles triangle ABC\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Perimeter-of-Isosceles-Triangle-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Perimeter-of-Isosceles-Triangle-5-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In the isosceles triangle $\\Delta ABC,\\; AB = AC = a$<\/p>\n\n\n\n<p>$BC = b$ is the base.<\/p>\n\n\n\n<p>Consider the right triangle $\\Delta ADC$.<\/p>\n\n\n\n<p>$AD^{2} + CD^{2} = AC^{2}$ \u2026Pythagoras theorem<\/p>\n\n\n\n<p>$h^{2} + (\\frac{b}{2})^{2} = a^{2}$<\/p>\n\n\n\n<p>$a^{2} = h^{2} + \\frac{b^{2}}{4} = \\frac{4h^{2} + b^{2}}{4}$<\/p>\n\n\n\n<p>Thus, $a = \\sqrt{\\frac{4h^{2} + b^{2}}{2}}$ \u2026length of equal side<\/p>\n\n\n\n<p>Perimeter $= 2 \\times \\sqrt{\\frac{4h^{2} + b^{2}}{2}} + b = \\sqrt{4h^{2} + b^{2} + b}$, where b is the base of the triangle and h represents altitude or height of the isosceles triangle.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-perimeter-of-an-isosceles-triangle\">Facts about Perimeter of an Isosceles Triangle<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Angles opposite to the equal sides in an isosceles triangle are congruent.<\/li>\n\n\n\n<li>Area of an isosceles triangle is given by&nbsp;$\\frac{1}{2} \\times Base \\times Height$.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the perimeter of an isosceles triangle, its formula and steps for calculation. An isosceles triangle has two equal sides. The perimeter of the isosceles triangle is the sum of lengths of all sides. Let\u2019s solve a few examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-perimeter-of-an-isosceles-triangle\">Solved Examples on Perimeter of an Isosceles Triangle<\/h2>\n\n\n\n<p><strong>1. What is the perimeter of an isosceles triangle if the base is 10 feet and equal sides are 5 feet long?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong> Perimeter of isosceles triangle $= (2 \\times measure of equal side) + (measure of unequal side)$<\/p>\n\n\n\n<p>Perimeter of isosceles triangle $= (2 \\times 5) + 10$<\/p>\n\n\n\n<p>Perimeter of isosceles triangle $= 10 + 10$<\/p>\n\n\n\n<p>Perimeter of isosceles triangle $= 20$ feet<\/p>\n\n\n\n<p><strong>2. What is the perimeter of the right angle isosceles triangle if the hypotenuse is 3 feet.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution: <\/strong>The formula of the perimeter of the right angle isosceles triangle if hypotenuse is given<\/p>\n\n\n\n<p>$= h (1 + \\sqrt{2})$.<\/p>\n\n\n\n<p>Perimeter $= 3 (1 + \\sqrt{2})$<\/p>\n\n\n\n<p>We know $\\sqrt{2} \\simeq 1.4$<\/p>\n\n\n\n<p>Perimeter $= 3 (1 + 1.4)$<\/p>\n\n\n\n<p>Perimeter $= 3 \\times 2.4$<\/p>\n\n\n\n<p>Perimeter $= 7.2$ feet&nbsp;<\/p>\n\n\n\n<p><strong>3. What is the measurement of two sides of an isosceles triangle if the perimeter is 60 feet and the base is 25 feet?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong> We will put the values in the formula to know the measurement of the sides of an isosceles triangle.&nbsp;<\/p>\n\n\n\n<p>$60 = 2x + 25$<\/p>\n\n\n\n<p>$2x = 60 \\;-\\; 25$<\/p>\n\n\n\n<p>$2x = 35$<\/p>\n\n\n\n<p>$x = \\frac{35}{2}$<\/p>\n\n\n\n<p>$x = 17.5$ feet&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p>Thus, the two sides of the isosceles triangle are 17.5 feet each.&nbsp;<\/p>\n\n\n\n<p><strong>4. Calculate the perimeter of a triangle with two equal sides of 4 inches and a base of 3 inches.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong> It is an isosceles triangle. The perimeter is:<\/p>\n\n\n\n<p>Perimeter $= (2 \\times 4) + 3$<\/p>\n\n\n\n<p>Perimeter $= 8 + 3$<\/p>\n\n\n\n<p>Perimeter $= 11$ inches<\/p>\n\n\n\n<p>Thus, the <strong>perimeter of an isosceles triangle<\/strong> is 11 inches.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-perimeter-of-an-isosceles-triangle\">Practice Problems on Perimeter of an Isosceles Triangle<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Perimeter of Isosceles Triangle - Definition, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the formula for the perimeter of a triangle if p represents equal sides and z represents unequal sides?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2p + z$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2z + p$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2(p + z)$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$p + z$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $2p + z$<br\/>Perimeter of the isosceles triangles the sum of two equal sides and one unequal side.<br>\r\nPerimeter $= 2p + z$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Perimeter of an isosceles triangle is 10 units. Find the unequal side if the two equal sides measure 3 units.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">3 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">6 units<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 4 units<br\/>$10 =  3 +  3 +$  unequal side<br>\r\nUnequal side $= 10 \\;-\\; 6 = 4$ units<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the hypotenuse of the right isosceles triangle with legs \u201cl\u201d?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\sqrt{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$l (2 + \\sqrt{2})$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\sqrt{2} l$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$l (1 + \\sqrt{2})$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\sqrt{2} l$<br\/>Hypotenuse of right isosceles triangle $= \\sqrt{2} l$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the perimeter of the given isosceles triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">32 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">47 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">30 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">74 units<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 47 units<br\/>Perimeter $= 15 +  15 +  17 = 47$ units<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Perimeter of Isosceles Triangle - 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Find the unequal side if the two equal sides measure 3 units.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$10 =  3 +  3 +$$  unequal side<br>\r\nUnequal side $$= 10 \\\\;-\\\\; 6 = 4$$ units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$10 =  3 +  3 +$$  unequal side<br>\r\nUnequal side $$= 10 \\\\;-\\\\; 6 = 4$$ units\"\n                                    }\n                                }, {\n                                \"@type\": 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\\\\sqrt{2} l$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$l (2 + \\\\sqrt{2})$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hypotenuse of right isosceles triangle $$= \\\\sqrt{2} l$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$l (1 + \\\\sqrt{2})$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n      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= 47$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 15 +  15 +  17 = 47$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"74 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter $$= 15 +  15 +  17 = 47$$ units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"47 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter $$= 15 +  15 +  17 = 47$$ units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter $$= 15 +  15 +  17 = 47$$ units\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-on-perimeter-of-an-isosceles-triangle\">Frequently Asked Questions on Perimeter of an Isosceles Triangle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-d4e94364-f9bb-4f62-973a-e2387715571c\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-d4e94364-f9bb-4f62-973a-e2387715571c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d4e94364-f9bb-4f62-973a-e2387715571c\"><strong>What is the sum of the angles of an isosceles triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-d4e94364-f9bb-4f62-973a-e2387715571c\">\n\n<p>Regardless of the type of triangle, the sum of the angles of an isosceles triangle is always 180 degrees. Thus, the sum of the angles will be 180 degrees with two equal and one unequal angle.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-d4e94364-f9bb-4f62-973a-e2387715571c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d4e94364-f9bb-4f62-973a-e2387715571c\"><strong>Will it be an isosceles triangle if all the angles of a triangle are equal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-d4e94364-f9bb-4f62-973a-e2387715571c\">\n\n<p>A triangle with all equal angles and equal sides is called an equilateral triangle. The isosceles triangle has only two equal sides and two equal angles.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-d4e94364-f9bb-4f62-973a-e2387715571c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d4e94364-f9bb-4f62-973a-e2387715571c\"><strong>What is the area of the isosceles triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-d4e94364-f9bb-4f62-973a-e2387715571c\">\n\n<p>The area of an isosceles triangle is $\\frac{(base\\; \\times \\;altitude)}{2}$. The altitude joins the midpoint of the base with the topmost angle of the isosceles triangle.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-d4e94364-f9bb-4f62-973a-e2387715571c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d4e94364-f9bb-4f62-973a-e2387715571c\"><strong>What is the formula for the perimeter of an equilateral triangle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-d4e94364-f9bb-4f62-973a-e2387715571c\">\n\n<p>Perimeter of an equilateral triangle $= 3 \\times side$.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Perimeter of an Isosceles Triangle? The perimeter of an isosceles triangle is the sum of all its sides. It is given by $2x + y$, where x is the length of two equal sides and y is the length of the remaining side. The perimeter is defined as the total length of &#8230; <a title=\"Perimeter of Isosceles Triangle &#8211; Definition, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/perimeter-of-isosceles-triangle\" aria-label=\"More on Perimeter of Isosceles Triangle &#8211; Definition, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-31925","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31925","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=31925"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31925\/revisions"}],"predecessor-version":[{"id":32219,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31925\/revisions\/32219"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}