{"id":156162,"date":"2022-03-26T01:27:02","date_gmt":"2022-03-25T19:57:02","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/triangle-and-its-properties-definition-and-types\/"},"modified":"2022-12-22T21:37:25","modified_gmt":"2022-12-22T16:07:25","slug":"triangle-and-its-properties-definition-and-types","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/","title":{"rendered":"Triangle and It\u2019s Properties \u2013 Definition and Types"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#Triangle_-_Definition_and_Types\" title=\"Triangle \u2013 Definition and Types\">Triangle \u2013 Definition and Types<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#What_is_the_Triangle\" title=\"What is the Triangle?\">What is the Triangle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#Types_of_Triangles\" title=\"Types of Triangles\">Types of Triangles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#What_are_the_Properties_of_Triangles\" title=\"What are the Properties of Triangles?\">What are the Properties of Triangles?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#Other_Polygons\" title=\"Other Polygons\">Other Polygons<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#Tips_to_study_Triangles\" title=\"Tips to study Triangles\">Tips to study Triangles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#triangle_Properties\" title=\"triangle Properties\">triangle Properties<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/triangle-and-its-properties\/#Triangle_Formula\" title=\"Triangle Formula\">Triangle Formula<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Triangle_-_Definition_and_Types\"><\/span>Triangle \u2013 Definition and Types<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A triangle is a two-dimensional, closed figure that has three line segments, called sides, that intersect at three angles, called vertices. The sum of the angles in a triangle is always 180 degrees.<\/p>\n<p>There are three types of triangles: equilateral, isosceles, and scalene.<\/p>\n<p>An equilateral triangle is a triangle in which all three sides are the same length.<\/p>\n<p>An isosceles triangle is a triangle in which two of the sides are the same length.<\/p>\n<p>A scalene triangle is a triangle in which all three sides are different lengths.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156161 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/triangle-and-its-properties-definition-and-types.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/triangle-and-its-properties-definition-and-types.jpg?v=1648238219 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/triangle-and-its-properties-definition-and-types-300x212.jpg?v=1648238219 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Triangle\"><\/span>What is the Triangle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The triangle is one of the basic shapes in geometry. It is a three-sided polygon. The three sides are called angles. The angles always add up to 180 degrees. The triangle is the simplest polygon.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Triangles\"><\/span>Types of Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three types of triangles: acute, right, and obtuse.<\/p>\n<p>An acute triangle has three acute angles.<br \/>\nA right triangle has one right angle.<br \/>\nAn obtuse triangle has one obtuse angle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_are_the_Properties_of_Triangles\"><\/span>What are the Properties of Triangles?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Triangles have three sides and three angles. The angles of a triangle always add up to 180 degrees. The longest side of a triangle is called the &#8220;base&#8221; and the other two sides are called &#8220;legs&#8221;.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Other_Polygons\"><\/span>Other Polygons<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are other polygons that are not mentioned above.<\/p>\n<p>Some other polygons are:<\/p>\n<p>-Trapezoid<br \/>\n-Semicircle<br \/>\n-Hexagon<br \/>\n-Octagon<br \/>\n-Pentagon<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Tips_to_study_Triangles\"><\/span>Tips to study Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Draw triangles and identify the angles and sides.<\/p>\n<p>2. Find the angles and sides of a triangle given one angle and two sides.<\/p>\n<p>3. Find the angles and sides of a triangle given two angles and one side.<\/p>\n<p>4. Find the perimeter and area of a triangle.<\/p>\n<p>5. Find the angles of a triangle if the lengths of two sides and the enclosed angle are given.<\/p>\n<p>6. Find the lengths of the sides of a triangle if the angles are given.<\/p>\n<p>7. Find the equation of the line containing the two vertices of a triangle.<\/p>\n<h2 align=\"justify\"><span class=\"ez-toc-section\" id=\"triangle_Properties\"><\/span>triangle Properties<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The properties of the triangle are:<\/p>\n<ul>\n<li>The sum of all the angles of a triangle (of all types) is equal to 180\u00b0.<\/li>\n<li>The sum of the length of the two sides of a triangle is greater than the length of the third side.<\/li>\n<li>In the same way, the difference between the two sides of a triangle is less than the length of the third side.<\/li>\n<li>The side opposite the greater angle is the longest side of all the three sides of a triangle.<\/li>\n<li>The exterior angle of a triangle is always equal to the sum of the interior opposite angles. This property of a triangle is called an <strong>exterior angle property.<\/strong><\/li>\n<li>Two triangles are said to be similar if their corresponding angles of both triangles are congruent and the lengths of their sides are proportional.<\/li>\n<li>Area of a triangle = \u00bd \u00d7 Base \u00d7 Height<\/li>\n<li>The perimeter of a triangle = sum of all its three sides<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Triangle_Formula\"><\/span>Triangle Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><strong>Area of a triangle<\/strong> is the region occupied by a triangle in a two-dimensional plane. The dimension of the area is square units. The formula for area is given by;<\/li>\n<\/ul>\n<p><strong>Area = 1\/2 x Base x Height<\/strong><\/p>\n<ul>\n<li>The <strong>perimeter of a triangle<\/strong> is the length of the outer boundary of a triangle. To find the perimeter of a triangle we need to add the length of the sides of the triangle.<\/li>\n<\/ul>\n<p><strong>P = a + b + c<\/strong><\/p>\n<ul>\n<li>Semi-perimeter of a triangle is half of the perimeter of the triangle. It is represented by s.<\/li>\n<\/ul>\n<p><strong>s = (a + b + c)\/2<\/strong><\/p>\n<p>where a, b and c are the sides of the triangle.<\/p>\n<ul>\n<li>By Heron\u2019s formula, the area of the triangle is given by:<\/li>\n<\/ul>\n<p><strong>A = \u221a[s(s \u2013 a)(s \u2013 b)(s \u2013 c)]<\/strong><\/p>\n<p>where \u2018s\u2019 is the semi-perimeter of the triangle.<\/p>\n<ul>\n<li>By the Pythagorean theorem, the hypotenuse of a right-angled triangle can be calculated by the formula:<\/li>\n<\/ul>\n<p><strong>Hypotenuse<sup>2<\/sup> = Base<sup>2<\/sup> + Perpendicular<sup>2<\/sup><\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Triangle \u2013 Definition and Types A triangle is a two-dimensional, closed figure that has three line segments, called sides, that [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Triangle and It\u2019s Properties \u2013 Definition and Types","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Triangle and It\u2019s Properties topic of Maths in details explained by subject experts on infinitylearn.com. 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