Question

Given a 30-69-90 triangle with the hypotenuse length 8, find the exact length of the long leg.

Answer 1

check the picture below.

Answer 2

A 30-69-90 triangle, ratio of short leg : long leg : hypotenuse = a : a√3 : 2a

Given : hypotenuse = 8 so short leg = 8/2 = 4

long leg = short leg times √3 = 4√3

Answer

4√3