Question

The area of a square on the hypotenuse of a right angled isosceles triangle is 24cm². workout the area of the square drawn on each of the other two sides.​

Answer 1

12 cm²

Explanation:

We are given that the triangle is a right-angled isosceles triangle and the square of the hypotenuse is 24 cm²

Since it is an isosceles triangle, the other two sides must be of the same length

Let this length be a.

We know that the square on the hypotenuse is the sum of the squares on the other two sides

This means
24 = a² + a²

24 = 2a²

2a² = 24

a² = 24/2 = 12

So the area of the square drawn on each of the other two sides = 12 cm²