Question

Each of equal sides of isosceles right triangle is 20 cm. what is the semi perimeter of the triangle​​

Answer 1

Here is the detailed answer. Please see.

Answer 2

Given:

The two sides of an isosceles triangle = 20cm.

To Find:

The semi perimeter of the triangle.

Solution:

Since the triangle is isosceles,

One of the angles is 90°.

So,

By Pythagoras Theorem,

H² = P² + B².

H² = 20² + 20².

H² = 400 + 400.

H² = 800.

H = 20√2cm.

Now,

The semi perimeter of the triangle = (20 + 20 + 20√2)/ 2.

The semi perimeter of the triangle = 68.28 / 2.

The semi perimeter of the triangle = 34.14cm.

Hence, the semi perimeter of the triangle is 34.14cm.