{"id":4611,"date":"2023-02-01T10:49:06","date_gmt":"2023-02-01T05:19:06","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=4611"},"modified":"2023-02-01T11:36:40","modified_gmt":"2023-02-01T06:06:40","slug":"classification-of-triangles","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/classification-of-triangles\/","title":{"rendered":"What are the Different Types of Triangles"},"content":{"rendered":"<h2><strong>Classification of Triangles<\/strong><\/h2>\n<p>A triangle is a polygon with three sides. It has three sides and three vertices. There are seven types of triangles. The sum of the angles of a triangle is 180\u00b0.<\/p>\n<p>Triangles Types can be classified in two ways:<\/p>\n<ol>\n<li>By their sides<\/li>\n<li>By their angles<\/li>\n<\/ol>\n<p>what are the six types of triangles?<\/p>\n<p>Six Various Types of Triangles are Isosceles, Equilateral, Obtuse, Acute and Scalene.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-12134 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/10\/classification-of-triangles-1.jpg\" alt=\"\" width=\"919\" height=\"551\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/10\/classification-of-triangles-1.jpg 919w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/10\/classification-of-triangles-1-300x180.jpg 300w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/10\/classification-of-triangles-1-768x460.jpg 768w\" sizes=\"(max-width: 919px) 100vw, 919px\" \/><\/p>\n<h3><strong>Classification of Triangles by Sides<\/strong><\/h3>\n<p><strong>Scalene Triangle:<\/strong><br \/>\nA triangle that has no side of equal length is called a scalene triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126551 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-1.png\" alt=\"What are the Different Types of Triangles 1\" width=\"160\" height=\"91\" \/>In figure,\u00a0PQ \u2260\u00a0QR \u2260\u00a0PR, so \u0394PQR is a scalene triangle.<\/p>\n<p><strong>Isosceles Triangle:<\/strong><br \/>\nA triangle that has two sides of equal length, is called an isosceles triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126552 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-2.png\" alt=\"What are the Different Types of Triangles 2\" width=\"148\" height=\"97\" \/>In figure, AB = AC, so \u0394ABC is an isosceles triangle.<\/p>\n<p><strong>Equilateral Triangle:<\/strong><br \/>\nA triangle which has all the three sides equal in length is called an equilateral triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126553 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-3.png\" alt=\"What are the Different Types of Triangles 3\" width=\"127\" height=\"106\" \/>In figure,\u00a0PQ = QR = PR, so \u0394PQR is an equilateral triangle.<\/p>\n<p><iframe loading=\"lazy\" title=\"Math Antics - Triangles\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/mLeNaZcy-hE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/p>\n<h3><strong>Classification of Triangles by Angles<\/strong><\/h3>\n<p><strong>Acute-angled Triangle:<\/strong><br \/>\nA triangle whose all angles are acute (less than 90\u00b0), is called an acute-angled triangle or simply an acute triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126548 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-4.png\" alt=\"What are the Different Types of Triangles 4\" width=\"287\" height=\"242\" \/>In figure, \u2220A, \u2220B, and \u2220C are all less than 90\u00b0, hence \u0394ABC is an acute-angled triangle.<\/p>\n<p><strong>Right-angled Triangle:<\/strong><br \/>\nA triangle whose one of the angles is a right angle, i.e., 90\u00b0, is called a right-angled triangle or simply right triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126554 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-6.png\" alt=\"What are the Different Types of Triangles 6\" width=\"348\" height=\"270\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-6.png 348w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-6-300x233.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/>In figure, \u2220B = 90\u00b0, hence \u0394ABC is a right triangle.<\/p>\n<p><strong>Obtuse-angled Triangle:<\/strong><br \/>\nA triangle whose one angle is obtuse, is called an obtuse-angled triangle or simply obtuse triangle.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126550 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-5.png\" alt=\"What are the Different Types of Triangles 5\" width=\"344\" height=\"235\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-5.png 344w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-5-300x205.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/>In figure, \u2220Y is obtuse, hence \u0394XYZ is an obtuse-angled triangle or simply obtuse triangle.<\/p>\n<p><strong>Equiangular Triangle:<\/strong><br \/>\nWhen all the three angles of a triangle are equal, then it is known as an equiangular triangle.<br \/>\nAn equiangular triangle is also known as equilateral triangle because all the three sides are equal.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-126555 aligncenter\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2020\/01\/What-are-the-Different-Types-of-Triangles-7.png\" alt=\"What are the Different Types of Triangles 7\" width=\"238\" height=\"226\" \/>In figure, \u2220A = \u2220B = \u2220C = 60\u00b0and AB = BC = AC, hence \u0394ABC is an equiangular triangle.<\/p>\n<p><strong>Example 1:<\/strong> One of the equal angles of an isosceles triangle is 50\u00b0. Find its third angle.<br \/>\n<strong>Solution:<\/strong> Let third angle = x<br \/>\n\u2234 x + 50\u00b0 + 50\u00b0 = 180\u00b0<br \/>\n(Angle sum property of a triangle)<br \/>\nor, \u00a0 x + 100\u00b0 = 180\u00b0<br \/>\nor, \u00a0 x = 180\u00b0 &#8211; 100\u00b0<br \/>\n= 80\u00b0<br \/>\n\u2234 Third angle = 80\u00b0<\/p>\n<p><strong>Example 2:<\/strong> Each ofthe two equal angles of a triangle is four times the third angle. Find all the angles of the triangle.<br \/>\n<strong>Solution:<\/strong> Let the smaller angle = x<br \/>\n\u2234 other two angles = 4x and 4x<br \/>\nThus, x + 4x + 4x = 180\u00b0<br \/>\n(Angle sum property of a triangle) or, 9x = 180\u00b0<br \/>\n\u2234 4x = 4 x 20\u00b0<br \/>\n= 80\u00b0<br \/>\nThus, the angles of the triangle are 20\u00b0, 80\u00b0, and 80\u00b0.<\/p>\n<p><b>Read More:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.aplustopper.com\/angle-sum-property-of-triangle\/\"><span style=\"font-weight: 400;\">Angle Sum Property of a Triangle<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.aplustopper.com\/median-altitude-of-triangle\/\"><span style=\"font-weight: 400;\">Median and Altitude of a Triangle<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.aplustopper.com\/find-angle-of-isosceles-triangle\/\"><span style=\"font-weight: 400;\">The Angle of An Isosceles Triangle<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.aplustopper.com\/areas-of-two-similar-triangles\/\"><span style=\"font-weight: 400;\">Areas of Two Similar Triangles<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/proofs-similar-triangles\/\">Proofs with Similar Triangles<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/similarity-of-triangles\/\"><span style=\"font-weight: 400;\">Criteria For Similarity of Triangles<\/span><\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.aplustopper.com\/area-of-a-triangle\/\"><span style=\"font-weight: 400;\">Area of A Triangle<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/areas-isosceles-triangle-equilateral-triangle\/\">Areas of an Isosceles Triangle and an Equilateral Triangle<\/a><\/li>\n<li style=\"font-weight: 400;\"><a href=\"https:\/\/www.aplustopper.com\/construction-of-triangles-with-compass-and-protractor\/\"><span style=\"font-weight: 400;\">Construction of an Equilateral Triangle<\/span><\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/congruent-triangles\/\">How Do You Prove Triangles Are Congruent<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/criteria-for-congruent-triangles\/\">Criteria For Congruent Triangles<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Classification of Triangles A triangle is a polygon with three sides. It has three sides and three vertices. There are seven types of triangles. The sum of the angles of a triangle is 180\u00b0. Triangles Types can be classified in two ways: By their sides By their angles what are the six types of triangles? [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[5],"tags":[2634,2636,2639,2643,2641,2640,2637,71,2638,2635,2642],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v17.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What are the Different Types of Triangles - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/classification-of-triangles\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What are the Different Types of Triangles\" \/>\n<meta property=\"og:description\" content=\"Classification of Triangles A triangle is a polygon with three sides. 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It has three sides and three vertices. There are seven types of triangles. The sum of the angles of a triangle is 180\u00b0. Triangles Types can be classified in two ways: By their sides By their angles what are the six types of triangles? 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