Question

The hypotenuse of a right triangle is 4 times the smallest side. the third side is the square root of 735. find the hypotenuse and the smallest side.

Answer 1

smallest side = x
hypotenuse = 4x

By the Pythagorean theorem:

(4x)² - x² = (√735)²
16x² - x² = 735
15x² = 735
x² = 735/15
x² = 49
x = √49
x = 7  ← smallest side

hypotenuse = 4x = 4*7 = 28