Question

What is the measure of one leg of a right triangle if the other leg measures 12 and the hypotenuse measures 20?

Answer 1

16

Explanation:

We know, In a right angled triangle, (hypotenuse)^2 = (one leg)^2+(other leg)^2.

Here `20^2` = (one leg)^2 + `12^` [Say, one leg = p]

`rArr 400 = p^2+144`

`rArr p^2 = 400-144 = 256`

`rArr p = sqrt256 = 16`