![]() ![]() In an isosceles triangle, ABC, ∠A = 100° and ∠B = ∠C. All the angles of the triangle are less than 90°.ģ. All sides of the triangle are different from each other.Įxample 2: Classify the triangle as acute, right, and obtuse.Įxamine the measure of each interior angle of the given triangle and compare it to 90°. Solved ExamplesĮxample 1: Classify the triangle as equilateral, isosceles, or scalene.Įxamine the lengths of the sides to see if any sides are equal. The triangle with one interior angle greater than 90° or an obtuse angle is called an obtuse triangle. Hypotenuse, the side opposite the right angle, is the longest side in a right triangle. The triangle with one interior angle of 90° or a right angle is called a right triangle. Acute TrianglesĪll interior angles in an acute triangle are acute angles, i.e., they measure less than 90°. An isosceles triangle has two similar triangles and one non-similar angle. An equilateral triangle is built at a 60-degree angle. An isosceles triangle has two sides that are similar in length and one side that is not. There are three types of triangles based on the measure of interior angles. An equilateral triangle can be characterized as a triangle with the same size of sides. The interior angles of a triangle can be of three kinds: namely acute, right, or obtuse angles, as shown below. In geometry, there are various types of angles based on measurement. Classification of Triangles Based on Interior Angles Consequently, each interior angle of equilateral triangles is equal to 60°. The three sides of an equilateral triangle are of equal length. The angles opposite to these equal sides are equal. Isosceles TrianglesĪn isosceles triangle has two sides of equal length. Consequently, the three interior angles are different from each other. Scalene TrianglesĪll sides of a scalene triangle are of different lengths. There are three types of triangles based on the measure of their sides. Classification of Triangles Based on Side Lengths The figure given below shows the various types of triangles and their properties. A triangle’s name also depends on the measure of its interior angle: acute (if all angles are less than 90°), right (if one angle is 90°), and obtuse (if one angle is more than 90°) Based on the length of the sides, there are three types of triangles: scalene, isosceles and equilateral triangles. There are different names for the types of triangles. What are the Different Types of Triangles?Ī triangle is a closed 2-dimensional shape with three sides. The longest side of the triangle is opposite its biggest angle, and the side opposite the smallest angle is the shortest side of the triangle. ![]() This is also known as the triangle inequality property. The total length of any two sides of a triangle is greater than the measure of the third side. This is known as the angle-sum property of a triangle. A triangle has three interior angles, and the sum of all the interior angles in a triangle is 180°.All triangles have three sides, three vertices, and three interior angles.Ĭonsider a triangle with three vertices as A, B and C are denoted as △ABC, as shown below. The point where two sides of the triangle meet are called the vertex and form an interior angle. What are the Different Types of Triangles?Ī triangle is a polygon made up of three sides.
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