![]() If, ‘a’ is the length of the equal sides (legs) and ‘b’ is the length of the unequal side (base). Isosceles An isosceles triangle is one having two of its sides equal. The vertex angle is the angle between the two equal sides. Perimeter of Isosceles Triangle = Sum of Length of two equal sides + Length of the other unequal side The Isosceles Triangles ClipArt gallery offers 180 illustrations of triangles with two equal sides and two equal angles (known as the base angles). ![]() The formula to calculate the perimeter of the isosceles triangle is given by: For this triangle the perimeter can be found using the length of the base and side. The perimeter of a triangle is the sum of the length of all three sides. With the knowledge of anyone angle, the other two angles can be calculated as we know that the sum of angles in a triangle is 180 degrees (as per the properties of triangle).The angle which involves the base of the triangle is known as the ‘base angles’.The angle made by the two equal sides of an isosceles triangle is known as the Vertex angle.A right isosceles triangle has a third angle as 90 degrees.In this section, we will discuss the properties of isosceles triangle along with its definitions and its significance in Maths. The altitude of an Isosceles Triangle is measured from the base to the topmost vertex (angle made by the two legs) of the triangle. An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 1800.The angles opposite to the two equal sides of the triangle is always equal.Two sides of the Triangle are equal and are known as ‘Legs’.Some of the characteristics of Isosceles triangles and the rules are as follows. An isosceles triangle is a special case of a triangle where 2 sides, a and c, are equal and 2 angles, A and C, are equal. ∠B = ∠C ≠ ∠A Properties of Isosceles Triangle In the figure above AB and AC are legs and BC is the base. Whereas, the third side (which is not equal to the other two) is called ‘Base’. The two equal sides of the triangle are called ‘Leg’. Let △ABC be an Isosceles Triangle as shown in the image below: In other words, when two sides of a triangle are equal, it is called an Isosceles Triangle. The main formula for calculation the area of an isosceles triangle is - ½ Base Height. Equal angles are called base angle and the other angle is called apex angle. ![]() Angles opposite to the equal sides are congruent to each other. Also, the angle opposite the equal sides is also equal. An isosceles triangle has two equal sides/angles. Isosceles Triangle, a triangle that has two equal sides.
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