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

Question

Fudgin [204]

3 years ago

11

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

nd the smallest side.

Mathematics

1 answer:

Alexus [3.1K] · Answer 1 · 2022-02-12T08:00:26+03:00

Alexus [3.1K]3 years ago

4 0

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