A right​ triangle's hypotenuse is 8 m and one leg is 2 √7 m. Find the length of the other leg.

Question

A right​ triangle's hypotenuse is 8 m and one leg is 2 √7 m. Find the length of the other leg.

What is the length of the other​ leg? _____ m

Answer 1

Use Pythagorean Theorem: sum of the squares of the legs = square of the hypotenuse

2 radical 7 **2 + other leg **2 = 8**2

28 + other leg **2 = 64

other leg **2 = 36

other leg = 6m