![]() Where ‘a’ is the length of the equal sides and ‘h’ is the length of the hypotenuse. If, ‘a’ is the length of the equal sides (legs) and ‘b’ is the length of the unequal side (base). Perimeter of an isosceles right angle triangle ABC, P A B + B C + A C a + a + h 2 a + h So, the perimeter of an isosceles right angle triangle is 2 a + h. Perimeter of Isosceles Triangle = Sum of Length of two equal sides + Length of the other unequal side 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.The altitude of an Isosceles Triangle is measured from the base to the topmost vertex (angle made by the two legs) of the triangle.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. ∠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 this case, the perimeter 6 + 6 + 5 17. Note that this is an isosceles triangle AND it meets the above rule. ![]() Here are two: Case a: PQ 6, PR 6 and RQ 5. ![]() In other words, when two sides of a triangle are equal, it is called an Isosceles Triangle. There are many isosceles triangles that satisfy statement 1. Also, the angle opposite the equal sides is also equal. Isosceles Triangle, a triangle that has two equal sides. ![]()
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