Improve Article Save Article Like Article Improve Article Save Article A triangle can be considered as an isosceles triangle if and only if two sides of the triangle have the same length and two equal angles. The perimeter of an isosceles triangle comes under the parent topic mensuration which is a branch of geometry that deals with measurements of 2D/3D figures. Perimeter of Isosceles TriangleThe perimeter of an Isosceles Triangle can be calculated by adding lengths of all three sides. In the isosceles triangle, two sides are having an equal length. So we can calculate the perimeter if the base length and other two equal side lengths are known. The formula of the perimeter of an isosceles triangle is given by-
The perimeter of an isosceles triangle is the sum of all lengths of sides. In an isosceles right-angled triangle, one unequal length side is hypotenuse which is the larger side. The perimeter is given by formula-
So even knowing either of hypotenuse or length of another side we can still find out the perimeter. So when we have hypotenuse length then,
If we have the length of equal sides then
Let’s look into a few examples to get more understanding Sample ProblemsQuestion 1: What is the perimeter of an isosceles triangle if its side lengths are 3cm, 5cm, 5cm. Solution:
Question 2: What is the perimeter of an isosceles triangle if its base length is 5cm and the equal side length is 8cm. Solution:
Question 3: What is the perimeter of a right-angled isosceles triangle if its hypotenuse length is 7cm and the equal side length is 4cm. Solution:
Question 4: What is the perimeter of a right-angled isosceles triangle if its hypotenuse length is 6cm. Solution:
Question 5: What is the perimeter of a right-angled isosceles triangle if it’s one side length is 5cm. Solution:
|