In a right-angled triangle, one of the legs is 20 cm, and the hypotenuse is 8 cm

In a right-angled triangle, one of the legs is 20 cm, and the hypotenuse is 8 cm larger than the second leg, Calculate the perimeter of the triangle.

1. Vertices of the triangle – A, B, C. ∠A = 90 °. AC = 20 centimeters. The length of the hypotenuse of the BC is more than the length of the leg AB by 8 cm. P is the perimeter.

2. Take the length of the leg AB as x. The length of the hypotenuse BC- (x + 8).

3. Let’s compose an equation using the formula of the Pythagorean theorem:

x² + 20² = (x + 8) ²;

x² + 400 = x² + 16x + 64;

16x = 336;

x = 21.

AB = 21 centimeters.

BC = 21 + 8 = 29 centimeters.

P = 21 + 29 + 20 = 70 centimeters.

Answer: P = 70 centimeters.