Question

One leg of a right triangle is 5 times as long as the other leg, the length of the hypotenuse is the square root of 416, what is the length of each leg?

Answer 1

Let `x` be the length of the shorter leg.

By Pythagorean Theorem
`(5x)^2+x^2= 416`

`26x^2 = 416`

`x^2 = 16`

`x = 4`

The lengths of the two legs are `4` and `20`