{"id":2042,"date":"2022-04-26T04:38:17","date_gmt":"2022-04-26T04:38:17","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2042"},"modified":"2024-01-23T12:34:52","modified_gmt":"2024-01-23T12:34:52","slug":"perimeter-of-a-triangle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle","title":{"rendered":"Perimeter of a Triangle &#8211; Definition, Formula, Examples, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><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-f1003871-4cac-4161-b90a-2f2a2aa93d75\" 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\/measurements\/perimeter-of-a-triangle#0-what-is-the-perimeter-of-a-triangle>What Is the Perimeter of a Triangle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle#2-perimeter-of-a-triangle-formula>Perimeter of a Triangle Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle#3-how-to-find-the-perimeter-of-a-triangle>How to Find the Perimeter of a Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle#10-solved-examples-on-perimeter-of-a-triangle>Solved Examples on Perimeter of a Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle#11-practice-problems-on-perimeter-of-a-triangle>Practice Problems on Perimeter of a Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle#12-frequently-asked-questions-on-perimeter-of-a-triangle>Frequently Asked Questions on Perimeter of a Triangle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-perimeter-of-a-triangle\">What Is the Perimeter of a Triangle?<\/h2>\n\n\n\n<p><strong>The perimeter of a triangle is the sum of all its sides. In other words, the perimeter of a triangle is the total length of its boundary.<\/strong><\/p>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" title=\"\">triangle<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" title=\"\">polygon<\/a>, a closed, 2-dimensional shape with three sides, three angles, and three vertices. Its perimeter is calculated by adding the length of all the sides. A perimeter of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\" title=\"\">2D shape<\/a> is measured in linear units of measurement like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/inch\" title=\"\">inches<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/foot\" title=\"\">feet<\/a>, yards, etc.<\/p>\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-a-triangle-definition\">Perimeter of a Triangle: Definition<\/h2>\n\n\n\n<p><strong>The perimeter of a triangle can be defined as the sum of all sides of a triangle.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>A triangle has three sides.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Perimeter of a Triangle <\/strong>$=$<strong> Sum of three sides of the triangle<\/strong><\/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-perimeter-of-a-triangle-formula\">Perimeter of a Triangle Formula<\/h2>\n\n\n\n<p>What is the formula for the perimeter of a triangle? Let\u2019s find out.<\/p>\n\n\n\n<p>Let a, b, and c be the lengths of the three sides of a triangle.<\/p>\n\n\n\n<p>Perimeter of triangle $= a + b + c$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"419\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-triangle-formula.png\" alt=\"Perimeter of a triangle formula\" class=\"wp-image-37691\" title=\"perimeter of a triangle formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-triangle-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-triangle-formula-300x203.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-a-triangle\">How to Find the Perimeter of a Triangle<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Note down the lengths of all three sides of the given triangle. Ensure that the lengths are in the same unit.<\/p>\n\n\n\n<p><strong>Step 2: <\/strong>Add the lengths of the three sides.<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> The sum represents the perimeter of the given triangle. Assign the same unit to the perimeter as the length of the sides.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-perimeter-of-an-equilateral-triangle\">Perimeter of an Equilateral Triangle<\/h2>\n\n\n\n<p>A triangle with three equal sides and three congruent angles $(60^\\circ)$ is known as an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" title=\"\">equilateral triangle<\/a>.<\/p>\n\n\n\n<p>Consider an equilateral triangle ABC whose each side measures \u201ca\u201d units.<\/p>\n\n\n\n<p>Perimeter of an equilateral triangle $= a + a + a = 3a$<\/p>\n\n\n\n<p>So, how do you find the perimeter of a triangle with three equal sides? Simply multiply the length of the side by 3!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"363\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-equilateral-triangle-formula.png\" alt=\"Perimeter of Equilateral Triangle formula\" class=\"wp-image-37692\" title=\"Perimeter of Equilateral Triangle formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-equilateral-triangle-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-equilateral-triangle-formula-300x176.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-perimeter-of-an-isosceles-triangle\">Perimeter of an Isosceles Triangle<\/h2>\n\n\n\n<p>A triangle with two equal sides is known as an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/isosceles-triangle\" title=\"\">isosceles triangle<\/a>.<\/p>\n\n\n\n<p>Since two sides of a triangle are equal, we have $a = b$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"430\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-an-isosceles-triangle-formula.png\" alt=\"Perimeter of an isosceles triangle formula\" class=\"wp-image-37693\" title=\"Perimeter of an isosceles triangle formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-an-isosceles-triangle-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-an-isosceles-triangle-formula-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Perimeter of an isosceles triangle $= a + a + c = 2a + c$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-perimeter-of-a-scalene-triangle\">Perimeter of a Scalene Triangle<\/h2>\n\n\n\n<p>A triangle in which all the sides have different lengths is known as a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle\" title=\"\">scalene triangle<\/a>.&nbsp;<\/p>\n\n\n\n<p>If the lengths of three sides are given by a, b, and c, then&nbsp;<\/p>\n\n\n\n<p><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perimeter\" title=\"\">Perimeter<\/a> $= a + b + c$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"568\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-scalene-triangle-formula.png\" alt=\"Perimeter of a scalene triangle formula\" class=\"wp-image-37694\" title=\"Perimeter of a scalene triangle formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-scalene-triangle-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-scalene-triangle-formula-300x275.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-perimeter-of-a-right-angled-triangle\">Perimeter of a Right-angled Triangle<\/h2>\n\n\n\n<p>A triangle in which one interior angle is $90^\\circ$ is called a right triangle. The side opposite to the $90^\\circ$ angle is called a hypotenuse. The other two sides are termed as \u201clegs\u201d of the right triangle. A right triangle has a base (b), hypotenuse (h), and perpendicular (p) as its sides.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"424\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-right-triangle.png\" alt=\"Perimeter of a right triangle\" class=\"wp-image-37695\" title=\"perimeter of a right triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-right-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-right-triangle-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Going by Pythagoras\u2019 theorem, we know that<\/p>\n\n\n\n<p>$h^2 = p^2 + b^2$<\/p>\n\n\n\n<p>Therefore, the perimeter of a right angle triangle $= b + p + h$<\/p>\n\n\n\n<p>$= b + p + \\sqrt{p^2 + b^2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-perimeter-of-an-isosceles-right-triangle\">Perimeter of an Isosceles Right Triangle<\/h2>\n\n\n\n<p>A right triangle in which the base and the height (two legs) are of equal length is called an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/isosceles-right-triangle\" title=\"\">isosceles right triangle<\/a>.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"524\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-isosceles-right-triangle-formula.png\" alt=\"Perimeter of Isosceles Right Triangle formula\" class=\"wp-image-37696\" title=\"Perimeter of Isosceles Right Triangle formula\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-isosceles-right-triangle-formula.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-isosceles-right-triangle-formula-300x254.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-applications-of-perimeter-of-a-triangle\">Applications of Perimeter of a Triangle<\/h2>\n\n\n\n<p>Take a look at the triangular park. Supposing we have to fence it along the outer boundary, we need to find the length of the fence required to cover the park. How do we do that? The length of the fence required can be calculated by finding the total length of the boundary (perimeter) of the triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"313\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-triangular-park.png\" alt=\"Perimeter of a triangular park\" class=\"wp-image-37697\" title=\"perimeter of a triangular park\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-triangular-park.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/perimeter-of-a-triangular-park-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-solved-examples-on-perimeter-of-a-triangle\">Solved Examples on Perimeter of a Triangle<\/h2>\n\n\n\n<p><strong>1. Find the perimeter of an equilateral triangle with side 6 inches.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Side of an equilateral triangle $= a = 6$ inches<\/p>\n\n\n\n<p>Perimeter of an equilateral triangle $= 3a$<\/p>\n\n\n\n<p>$=3 \\times 6$<\/p>\n\n\n\n<p>$= 18$ inches<\/p>\n\n\n\n<p><strong>2. What is the perimeter of an isosceles triangle whose equal sides are 4 feet each and the unequal side is 6 feet?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Let equal sides be $a = 4$ feet and non equal side be $b = 6$ feet<\/p>\n\n\n\n<p>Perimeter of the given isosceles triangle $= 2a+b$<\/p>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$=(2 \\times 4)+ 6$<\/p>\n\n\n\n<p>$= 14$ feet<\/p>\n\n\n\n<p><strong>3. If the perimeter of the given triangle is 34 feet, what is the length of the missing side?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"287\" height=\"200\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/triangle-XYZ-with-sides-9-ft-12-ft-and-a-missing-length.png\" alt=\"triangle XYZ with sides 9 ft, 12 ft and a missing length\" class=\"wp-image-37698\" title=\"triangle XYZ with sides 9 ft, 12 ft and a missing length\"\/><\/figure>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>In the $\\Delta XYZ$, we have<\/p>\n\n\n\n<p>$XY = 9$ feet<\/p>\n\n\n\n<p>$XZ = 12$ feet<\/p>\n\n\n\n<p>Perimeter $= 34$ feet \u2026given<\/p>\n\n\n\n<p>Perimeter of the triangle $= XY + YZ + XZ$<\/p>\n\n\n\n<p>$34 = 9 +&nbsp; 12 + YZ$<\/p>\n\n\n\n<p>$34 = YZ + 21$<\/p>\n\n\n\n<p>$YZ = 13$ feet<\/p>\n\n\n\n<p><strong>4. What is the value of x if the perimeter of the triangle PQR is 40 units? Also, find the length of three sides.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"288\" height=\"184\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/a-triangle-with-sides-x-x4-x6.png\" alt=\"A triangle with sides x, x+4, x+6\" class=\"wp-image-37699\" title=\"A triangle with sides x, x+4, x+6\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Perimeter of triangle $PQR = PQ + QR + PR$<\/p>\n\n\n\n<p>$40 = x + x + 4 + x + 6$<\/p>\n\n\n\n<p>$40 = 3x + 10$<\/p>\n\n\n\n<p>$3x = 30$<\/p>\n\n\n\n<p>$x = 10$<\/p>\n\n\n\n<p>Let\u2019s find the length of the sides.<\/p>\n\n\n\n<p>$PQ = x = 10$ units<\/p>\n\n\n\n<p>$QR = x + 6 = 10 + 6 = 16$ units<\/p>\n\n\n\n<p>$PR = x + 4 = 10 + 4 = 14$ units<\/p>\n\n\n\n<p><strong>5. If the base and height of a right isosceles triangle is 6 inches each, what would be its perimeter?&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>: $b = p = 6$ inches<\/p>\n\n\n\n<p>$h^2 = p^2 + b^2$<\/p>\n\n\n\n<p>$h = \\sqrt{p^2 + b^2} = \\sqrt{6^2 + 6^2} = \\sqrt{36+36} = \\sqrt{72} = 6\\sqrt{2}$ inches<\/p>\n\n\n\n<p>Perimeter of a right triangle$ = b + p + h = 6 + 6 + 6\\sqrt{2} = (12 + 6\\sqrt{2})$ inches<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-practice-problems-on-perimeter-of-a-triangle\">Practice Problems on Perimeter of a Triangle<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Perimeter of a Triangle \u2013 Definition, Formula, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the perimeter of $\\Delta ABC$?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/triangle-ABC-with-sides-3-3-and-4.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">12 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">10 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">8 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">7 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: 10 units<br\/>Perimeter of an isosceles triangle $= 3 + 3 + 4 = 6 + 4 = 10$ inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The perimeter of an equilateral triangle is 45 inches. What is the side of the triangle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">22.5 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">25 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">15 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">9 inches<\/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: 15 inches<br\/>Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$3a = 45$<br>\r\n$a = \\frac{45}{3} = 15$ inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If the perimeter of a scalene triangle is 32 feet. If the two sides are 12 feet and 7 feet, then what is the third side?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">13 feet<\/div><div class=\"spq_answer_block\" data-value=\"1\">10 feet<\/div><div class=\"spq_answer_block\" data-value=\"2\">27 feet<\/div><div class=\"spq_answer_block\" data-value=\"3\">20 feet<\/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: 13 feet<br\/>Let $a = 12$ feet, $b = 7$ feet and $c = ?$ feet<br>\r\nPerimeter of the triangle $= a + b + c$ <br>\r\n$32 = 12 + 7 + c$<br>\r\n$c = 32\\;-\\;12\\;-\\;7 = 32\\;-\\;19 = 13$ feet<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the perimeter of a right angled isosceles triangle whose two sides are 4 inches each.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$(4 + 4\\sqrt{2})$ inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">$32\\sqrt{2}$ inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">$12\\sqrt{2}$ inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">$(8 + 4\\sqrt{2})$ inches<\/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: $(8 + 4\\sqrt{2})$ inches<br\/>$b = p = 4$ inches<br>\r\n$h^2 = p^2 + b^2$<br>\r\n$h = \\sqrt{p^2 + b^2} = \\sqrt{4^2 + 4^2} = \\sqrt{16 + 16} = \\sqrt{32} = 4\\sqrt{2}$ inches<br>\r\nPerimeter of a right triangle $= b + p + h = 4 + 4 + 4\\sqrt{2} = (8 + 4\\sqrt{2})$ inches<\/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 a Triangle \u2013 Definition, Formula, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Perimeter of a Triangle\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the perimeter of $$\\\\Delta ABC$$?\",\n                    \"text\": \"What is the perimeter of $$\\\\Delta ABC$$? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/triangle-ABC-with-sides-3-3-and-4.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of an isosceles triangle $$= 3 + 3 + 4 = 6 + 4 = 10$$ inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of an isosceles triangle $$= 3 + 3 + 4 = 6 + 4 = 10$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of an isosceles triangle $$= 3 + 3 + 4 = 6 + 4 = 10$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of an isosceles triangle $$= 3 + 3 + 4 = 6 + 4 = 10$$ inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"10 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of an isosceles triangle $$= 3 + 3 + 4 = 6 + 4 = 10$$ inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of an isosceles triangle $$= 3 + 3 + 4 = 6 + 4 = 10$$ inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The perimeter of an equilateral triangle is 45 inches. What is the side of the triangle?\",\n                    \"text\": \"The perimeter of an equilateral triangle is 45 inches. What is the side of the triangle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$$3a = 45$$<br>\r\n$$a = \\\\frac{45}{3} = 15$$ inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"22.5 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$$3a = 45$$<br>\r\n$$a = \\\\frac{45}{3} = 15$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$$3a = 45$$<br>\r\n$$a = \\\\frac{45}{3} = 15$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$$3a = 45$$<br>\r\n$$a = \\\\frac{45}{3} = 15$$ inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"15 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$$3a = 45$$<br>\r\n$$a = \\\\frac{45}{3} = 15$$ inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let the side of an equilateral triangle be a inches<br>\r\nPerimeter of an equilateral triangle = 3a = 45 inches<br>\r\n$$3a = 45$$<br>\r\n$$a = \\\\frac{45}{3} = 15$$ inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the perimeter of a scalene triangle is 32 feet. If the two sides are 12 feet and 7 feet, then what is the third side?\",\n                    \"text\": \"If the perimeter of a scalene triangle is 32 feet. If the two sides are 12 feet and 7 feet, then what is the third side?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let $$a = 12$$ feet, $$b = 7$$ feet and $$c = ?$$ feet<br>\r\nPerimeter of the triangle $$= a + b + c$$ <br>\r\n$$32 = 12 + 7 + c$$<br>\r\n$$c = 32\\\\;-\\\\;12\\\\;-\\\\;7 = 32\\\\;-\\\\;19 = 13$$ feet\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"10 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$a = 12$$ feet, $$b = 7$$ feet and $$c = ?$$ feet<br>\r\nPerimeter of the triangle $$= a + b + c$$ <br>\r\n$$32 = 12 + 7 + c$$<br>\r\n$$c = 32\\\\;-\\\\;12\\\\;-\\\\;7 = 32\\\\;-\\\\;19 = 13$$ feet\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"27 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$a = 12$$ feet, $$b = 7$$ feet and $$c = ?$$ feet<br>\r\nPerimeter of the triangle $$= a + b + c$$ <br>\r\n$$32 = 12 + 7 + c$$<br>\r\n$$c = 32\\\\;-\\\\;12\\\\;-\\\\;7 = 32\\\\;-\\\\;19 = 13$$ feet\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 feet\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let $$a = 12$$ feet, $$b = 7$$ feet and $$c = ?$$ feet<br>\r\nPerimeter of the triangle $$= a + b + c$$ <br>\r\n$$32 = 12 + 7 + c$$<br>\r\n$$c = 32\\\\;-\\\\;12\\\\;-\\\\;7 = 32\\\\;-\\\\;19 = 13$$ feet\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"13 feet\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let $$a = 12$$ feet, $$b = 7$$ feet and $$c = ?$$ feet<br>\r\nPerimeter of the triangle $$= a + b + c$$ <br>\r\n$$32 = 12 + 7 + c$$<br>\r\n$$c = 32\\\\;-\\\\;12\\\\;-\\\\;7 = 32\\\\;-\\\\;19 = 13$$ feet\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let $$a = 12$$ feet, $$b = 7$$ feet and $$c = ?$$ feet<br>\r\nPerimeter of the triangle $$= a + b + c$$ <br>\r\n$$32 = 12 + 7 + c$$<br>\r\n$$c = 32\\\\;-\\\\;12\\\\;-\\\\;7 = 32\\\\;-\\\\;19 = 13$$ feet\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the perimeter of a right angled isosceles triangle whose two sides are 4 inches each.\",\n                    \"text\": \"Find the perimeter of a right angled isosceles triangle whose two sides are 4 inches each.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$b = p = 4$$ inches<br>\r\n$$h^2 = p^2 + b^2$$<br>\r\n$$h = \\\\sqrt{p^2 + b^2} = \\\\sqrt{4^2 + 4^2} = \\\\sqrt{16 + 16} = \\\\sqrt{32} = 4\\\\sqrt{2}$$ inches<br>\r\nPerimeter of a right triangle $$= b + p + h = 4 + 4 + 4\\\\sqrt{2} = (8 + 4\\\\sqrt{2})$$ inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$(4 + 4\\\\sqrt{2})$$ inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$b = p = 4$$ inches<br>\r\n$$h^2 = p^2 + b^2$$<br>\r\n$$h = \\\\sqrt{p^2 + b^2} = \\\\sqrt{4^2 + 4^2} = \\\\sqrt{16 + 16} = \\\\sqrt{32} = 4\\\\sqrt{2}$$ inches<br>\r\nPerimeter of a right triangle $$= b + p + h = 4 + 4 + 4\\\\sqrt{2} = (8 + 4\\\\sqrt{2})$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$32\\\\sqrt{2}$$ inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$b = p = 4$$ inches<br>\r\n$$h^2 = p^2 + b^2$$<br>\r\n$$h = \\\\sqrt{p^2 + b^2} = \\\\sqrt{4^2 + 4^2} = \\\\sqrt{16 + 16} = \\\\sqrt{32} = 4\\\\sqrt{2}$$ inches<br>\r\nPerimeter of a right triangle $$= b + p + h = 4 + 4 + 4\\\\sqrt{2} = (8 + 4\\\\sqrt{2})$$ inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12\\\\sqrt{2}$$ inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$b = p = 4$$ inches<br>\r\n$$h^2 = p^2 + b^2$$<br>\r\n$$h = \\\\sqrt{p^2 + b^2} = \\\\sqrt{4^2 + 4^2} = \\\\sqrt{16 + 16} = \\\\sqrt{32} = 4\\\\sqrt{2}$$ inches<br>\r\nPerimeter of a right triangle $$= b + p + h = 4 + 4 + 4\\\\sqrt{2} = (8 + 4\\\\sqrt{2})$$ inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$(8 + 4\\\\sqrt{2})$$ inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$b = p = 4$$ inches<br>\r\n$$h^2 = p^2 + b^2$$<br>\r\n$$h = \\\\sqrt{p^2 + b^2} = \\\\sqrt{4^2 + 4^2} = \\\\sqrt{16 + 16} = \\\\sqrt{32} = 4\\\\sqrt{2}$$ inches<br>\r\nPerimeter of a right triangle $$= b + p + h = 4 + 4 + 4\\\\sqrt{2} = (8 + 4\\\\sqrt{2})$$ inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$b = p = 4$$ inches<br>\r\n$$h^2 = p^2 + b^2$$<br>\r\n$$h = \\\\sqrt{p^2 + b^2} = \\\\sqrt{4^2 + 4^2} = \\\\sqrt{16 + 16} = \\\\sqrt{32} = 4\\\\sqrt{2}$$ inches<br>\r\nPerimeter of a right triangle $$= b + p + h = 4 + 4 + 4\\\\sqrt{2} = (8 + 4\\\\sqrt{2})$$ inches\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-frequently-asked-questions-on-perimeter-of-a-triangle\">Frequently Asked Questions on Perimeter of a Triangle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-704a5db2-b75e-4af0-a7dc-c76692e82e0c\" 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-0-704a5db2-b75e-4af0-a7dc-c76692e82e0c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-704a5db2-b75e-4af0-a7dc-c76692e82e0c\"><strong>What is the difference between area and perimeter?<\/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-0-704a5db2-b75e-4af0-a7dc-c76692e82e0c\">\n\n<p><strong>Area<\/strong> is the region bounded within the sides of a 2D shape, whereas <strong>perimeter<\/strong> is the total length of the boundary of the shape.<\/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-1-704a5db2-b75e-4af0-a7dc-c76692e82e0c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-704a5db2-b75e-4af0-a7dc-c76692e82e0c\"><strong>What is the formula for the area of a 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-1-704a5db2-b75e-4af0-a7dc-c76692e82e0c\">\n\n<p>Area of a Triangle $= \\frac{1}{2} \\times base \\times height$<\/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-2-704a5db2-b75e-4af0-a7dc-c76692e82e0c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-704a5db2-b75e-4af0-a7dc-c76692e82e0c\"><strong>What is the semiperimeter of a 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-2-704a5db2-b75e-4af0-a7dc-c76692e82e0c\">\n\n<p><strong>Semiperimeter<\/strong> is the half of the perimeter of a triangle. If the sides of a triangle are a,b and c, then the semiperimeter $= \\frac{a + b + c}{2}$<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is the Perimeter of a Triangle? The perimeter of a triangle is the sum of all its sides. In other words, the perimeter of a triangle is the total length of its boundary. A triangle is a polygon, a closed, 2-dimensional shape with three sides, three angles, and three vertices. Its perimeter is calculated &#8230; <a title=\"Perimeter of a Triangle &#8211; Definition, Formula, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle\" aria-label=\"More on Perimeter of a Triangle &#8211; Definition, Formula, Examples, 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-2042","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\/2042","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=2042"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2042\/revisions"}],"predecessor-version":[{"id":37700,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2042\/revisions\/37700"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}