{"id":2564,"date":"2022-04-28T13:20:16","date_gmt":"2022-04-28T13:20:16","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2564"},"modified":"2023-03-03T12:13:40","modified_gmt":"2023-03-03T12:13:40","slug":"area-and-perimeter-of-triangle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle","title":{"rendered":"Area and Perimeter of Triangle \u2013 Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 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-bd667547-cc56-4d22-a341-db483be1827b\" 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\/area-and-perimeter-of-triangle#0-triangle>Triangle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle#1-what-is-the-perimeter-of-a-triangle->What is the Perimeter of a Triangle?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle#2-what-is-the-area-of-a-triangle->What is the Area of a Triangle?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle#4-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle#5-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle#6-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-triangle\">Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">triangle<\/a> is a three-sided <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/closed-shape\" target=\"_blank\" rel=\"noopener\" title=\"\">closed figure<\/a>. It is one of the basic <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\" target=\"_blank\" rel=\"noopener\" title=\"\">shapes<\/a> in geometry which has 3 <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/side\" target=\"_blank\" rel=\"noopener\" title=\"\">sides<\/a> and 3 vertices<\/strong>. The triangle can be classified as equilateral, isoscles or scalene on the basis of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/length\" target=\"_blank\" rel=\"noopener\" title=\"\">length<\/a> of it\u2019s sides.\u00a0<\/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\"><!-- pods:access-notices\/user\/content-hidden {&quot;object_type&quot;:&quot;post_type&quot;,&quot;object_name&quot;:&quot;sl_games&quot;,&quot;item_id&quot;:null} --><\/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=\"eplus-wrapper wp-block-heading\" id=\"1-what-is-the-perimeter-of-a-triangle-\">What is the Perimeter of a Triangle?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The<strong> <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon\" target=\"_blank\" rel=\"noopener\" title=\"\">perimeter of a polygon<\/a> is the total length of the boundary<\/strong>. For a triangle, we can find it by adding the lengths of its three sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, if ABC is a triangle. We find the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">perimeter of triangle<\/a><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-triangle\" title=\"\"> <\/a>ABC by adding the length of all three sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perimeter\" target=\"_blank\" rel=\"noopener\" title=\"\">Perimeter<\/a> of \u25b3ABC = AB + BC + CA = a + b + c<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"309\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-1.png\" alt=\"Perimeter of \u25b3ABC = AB + BC + CA = a + b + c\" class=\"wp-image-5271\" title=\"Perimeter of \u25b3ABC = AB + BC + CA = a + b + c\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-1-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s understand this by using a real-life example.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have a triangular park. We need to find the length of the fence required to cover the park. How do we find that?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"313\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-2.png\" alt=\"Real-life example of perimeter of the triangle\" class=\"wp-image-5272\" title=\"Real-life example of perimeter of the triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-2-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s take another example.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A serving tray as shown forms an equilateral<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\"> <\/a>triangle \u2013 that is, a triangle with three equal sides. Let each side be 20 cm long.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"309\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-3.png\" alt=\"a triangle with three equal sides\" class=\"wp-image-5273\" title=\"a triangle with three equal sides\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-3-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">To find the total length of a decorative lace to be pasted on outside borders, one needs to find the perimeter of the triangle. Since all the three sides of the triangle are of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/sides-of-equal-length\" target=\"_blank\" rel=\"noopener\" title=\"\">equal length<\/a>, we can find the perimeter by multiplying the length of each side by 3.\u00a0<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">20 + 20 + 20 = 3 \u00d7 20 = 60 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, we can see that the perimeter of an equilateral triangle is 3 times the length of each side.<\/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\"><!-- pods:access-notices\/user\/content-hidden {&quot;object_type&quot;:&quot;post_type&quot;,&quot;object_name&quot;:&quot;sl_worksheets&quot;,&quot;item_id&quot;:null} --><\/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=\"eplus-wrapper wp-block-heading\" id=\"2-what-is-the-area-of-a-triangle-\">What is the Area of a Triangle?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\" target=\"_blank\" rel=\"noopener\" title=\"\">area<\/a> of a two-dimensional shape is the space occupied by the shape. <strong>This area can be found by dividing the shape into unit <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\" target=\"_blank\" rel=\"noopener\" title=\"\">squares<\/a> and determining the number of unit squares in the shape as each unit square occupies one <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square-unit\" target=\"_blank\" rel=\"noopener\" title=\"\">square unit<\/a> space<\/strong>.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Consider a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" target=\"_blank\" rel=\"noopener\" title=\"\">rectangle<\/a> with length of 4 cm and width of 3 cm. It can be filled with 3 rows and 4 columns of unit squares and therefore the area is 3 times 4 or 12 square <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/centimeter\" target=\"_blank\" rel=\"noopener\" title=\"\">centimeters<\/a>. That is, the area of a rectangle is the product of its length and width.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A rectangle can be divided into two congruent triangles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"336\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-4.png\" alt=\"Two congruent triangles in a Rectangle\" class=\"wp-image-5274\" title=\"Two congruent triangles in a Rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-4-300x163.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, the area of each triangle is half the area of the rectangle. That is 12 \u00d7 l \u00d7 w, where l stands for <strong>length<\/strong> of the rectangle and w stands for <strong>width<\/strong> of the rectangle.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Consider a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">scalene triangle<\/a> \u25b3ABC. Note that, to write the area of a triangle as half the area of a rectangle, we need to have the height perpendicular to the base. So, draw a perpendicular from a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/vertex\" target=\"_blank\" rel=\"noopener\" title=\"\">vertex<\/a> to the opposite side.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-5.png\" alt=\"Perpendicular line in a Triangle.\" class=\"wp-image-5275\" title=\"Perpendicular line in a Triangle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-5-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, BD is the perpendicular drawn from vertex B to the opposite side AC.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-6.png\" alt=\"Area of a triangle = \u00bd \u00d7 base \u00d7 height.\" class=\"wp-image-5276\" title=\"Area of a triangle = \u00bd \u00d7 base \u00d7 height.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Area-and-Perimeter-of-a-Triangle-6-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, the area of a triangle is half the product of its base and height.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area of a triangle = \u00bd \u00d7 base \u00d7 height.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-fun-facts\">Fun Facts<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">A triangle is the simplest <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" target=\"_blank\" rel=\"noopener\" title=\"\">polygon<\/a> with three sides. All other polygons have more than three sides.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">The word perimeter is taken from Greek words meaning \u201caround measure.\u201d<\/li>\n\n\n\n<li class=\" eplus-wrapper\">The area A of an equilateral triangle of side length s cm can be calculated using the formula A=34\u00d7 s2. The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/value\" target=\"_blank\" rel=\"noopener\" title=\"\">value<\/a> of 3 is about 1.73. Thus, the approximate becomes, A = 0.4325 s2.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-solved-examples-on-area-and-perimeter-of-triangle\">Solved Examples on Area and Perimeter of Triangle<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>The sides of a triangle have the following lengths:&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>10 cm, 14 cm, and 12 cm<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Find the perimeter of the triangle.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution.<\/strong> We know that the perimeter of a triangle is the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/sum\" target=\"_blank\" rel=\"noopener\" title=\"\">sum<\/a> of all its sides. Hence,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">perimeter = 10 cm + 14 cm + 12 cm = 36 cm.<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>An equilateral triangle has one side of length 6 cm. Find the perimeter of the triangle.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution.<\/strong> As all sides of an equilateral triangle are equal in length, its perimeter can be calculated as shown:<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Perimeter = 6 cm + 6 cm + 6 cm = 18 cm<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>The perimeter of a triangle is 25 cm. Two of its sides measure 4 cm and 10 cm. Find the length of the third side.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution.<\/strong> Perimeter is the sum of all sides. We can find the third side by subtracting the measures of the other two sides from the given perimeter.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Length of the third side = 25 cm \u2013 (4 cm + 10 cm) = 11 cm<\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>The height of a triangle is 4 cm, and its base is 5 cm. Find its area.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution.<\/strong> We know that the area of a triangle is given by 12 x base x height. Hence,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Area = 12 \u00d7 4 \u00d7 5 = 10 cm sq.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-practice-problems-on-area-and-perimeter-of-triangle\">Practice Problems on Area and Perimeter of Triangle<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area and Perimeter Of A Triangle<\/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 a triangle with sides lengths 3 cm, 6 cm, and 4 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">32 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">13 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">16 cm<\/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 cm<br\/>Perimeter = 3 cm + 6 cm + 4 cm = 13 cm<\/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\">The side of an equilateral triangle is 3 cm in length. Find the perimeter of the triangle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">9 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">13 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">16 cm<\/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: 9 cm<br\/>Perimeter = 3 cm + 3 cm + 3 cm = 9 cm<\/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\">The perimeter of a triangle is 15 cm. The lengths of the two sides are 5 cm and 4 cm. Find the length of the third side.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">3 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">4 cm<\/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: 6 cm<br\/>Length of the third side = 15 cm \u2013 5 cm \u2013 4 cm = 6 cm<\/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\">The sides of a triangle are 4 cm, 4 cm, and 3 cm. Find the perimeter.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">9 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">11 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">16 cm<\/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: 11 cm<br\/>4 cm + 4 cm + 3 cm = 11 cm.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The base of a triangle is 8 cm. Its height is 6 cm. What is the area?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">24 cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"1\">44 cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 cm sq.<\/div><div class=\"spq_answer_block\" data-value=\"3\">16 cm sq.<\/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: 24 cm sq.<br\/>Area = $\\frac{1}{2}\\times 8\\times 6$ = 24 cm sq.<\/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\": \"Area and Perimeter Of A Triangle\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area and 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 a triangle with sides lengths 3 cm, 6 cm, and 4 cm?\",\n                    \"text\": \"What is the perimeter of a triangle with sides lengths 3 cm, 6 cm, and 4 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter = 3 cm + 6 cm + 4 cm = 13 cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"32 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter = 3 cm + 6 cm + 4 cm = 13 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter = 3 cm + 6 cm + 4 cm = 13 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter = 3 cm + 6 cm + 4 cm = 13 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"13 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter = 3 cm + 6 cm + 4 cm = 13 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter = 3 cm + 6 cm + 4 cm = 13 cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The side of an equilateral triangle is 3 cm in length. 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Find the perimeter.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"4 cm + 4 cm + 3 cm = 11 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 cm + 4 cm + 3 cm = 11 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 cm + 4 cm + 3 cm = 11 cm.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4 cm + 4 cm + 3 cm = 11 cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"11 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"4 cm + 4 cm + 3 cm = 11 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"4 cm + 4 cm + 3 cm = 11 cm.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The base of a triangle is 8 cm. Its height is 6 cm. What is the area?\",\n                    \"text\": \"The base of a triangle is 8 cm. Its height is 6 cm. What is the area?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area = $$\\\\frac{1}{2}\\\\times 8\\\\times 6$$ = 24 cm sq.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"44 cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area = $$\\\\frac{1}{2}\\\\times 8\\\\times 6$$ = 24 cm sq.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area = $$\\\\frac{1}{2}\\\\times 8\\\\times 6$$ = 24 cm sq.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"16 cm sq.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area = $$\\\\frac{1}{2}\\\\times 8\\\\times 6$$ = 24 cm sq.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"24 cm sq.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area = $$\\\\frac{1}{2}\\\\times 8\\\\times 6$$ = 24 cm sq.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area = $$\\\\frac{1}{2}\\\\times 8\\\\times 6$$ = 24 cm sq.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-frequently-asked-questions-on-area-and-perimeter-of-triangle\">Frequently Asked Questions on Area and Perimeter of Triangle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-4c648f8b-55cb-43c4-8021-8435aae39519\" 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-0-4c648f8b-55cb-43c4-8021-8435aae39519\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4c648f8b-55cb-43c4-8021-8435aae39519\"><strong>What is the formula for the perimeter 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-0-4c648f8b-55cb-43c4-8021-8435aae39519\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The formula for the perimeter of a triangle is the sum of the length of all the sides of a triangle. For example, if the side lengths of a triangle are 3 cm, 4 cm, and 5 cm, then the perimeter of the triangle will be 3 + 4 + 5 = 12 cm.<\/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-1-4c648f8b-55cb-43c4-8021-8435aae39519\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4c648f8b-55cb-43c4-8021-8435aae39519\"><strong>Does area increase as perimeter increases?<\/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-1-4c648f8b-55cb-43c4-8021-8435aae39519\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">An increase in perimeter of a figure always increases the area of the figure.&nbsp;<\/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-2-4c648f8b-55cb-43c4-8021-8435aae39519\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4c648f8b-55cb-43c4-8021-8435aae39519\"><strong>What is the perimeter 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-2-4c648f8b-55cb-43c4-8021-8435aae39519\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The perimeter of an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/isosceles-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">isosceles triangle<\/a> is 2 x side + base.<\/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-3-4c648f8b-55cb-43c4-8021-8435aae39519\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4c648f8b-55cb-43c4-8021-8435aae39519\"><strong>How do we define 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-3-4c648f8b-55cb-43c4-8021-8435aae39519\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The area of a triangle is space occupied within it\u2019s boundary. It can be calculated as half the product of its base and 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-4-4c648f8b-55cb-43c4-8021-8435aae39519\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-4c648f8b-55cb-43c4-8021-8435aae39519\"><strong>What is the similarity between the perimeter and area?<\/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-4-4c648f8b-55cb-43c4-8021-8435aae39519\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Both area and perimeter define the size of a shape.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Triangle A triangle is a three-sided closed figure. It is one of the basic shapes in geometry which has 3 sides and 3 vertices. The triangle can be classified as equilateral, isoscles or scalene on the basis of the length of it\u2019s sides.\u00a0 Recommended Games More Games What is the Perimeter of a Triangle?&nbsp; The &#8230; <a title=\"Area and Perimeter of Triangle \u2013 Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/area-and-perimeter-of-triangle\" aria-label=\"More on Area and Perimeter of Triangle \u2013 Definition with Examples\">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-2564","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\/2564","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=2564"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2564\/revisions"}],"predecessor-version":[{"id":25882,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2564\/revisions\/25882"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2564"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2564"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}