We have an equilateral triangle which means all sides are of equal length. In this problem, sides are 34√3.
We bisect the equilateral triangle, then we have:
hypotenuse = 34√3
Base = (34√3)/2 = 17√3
Solving for height, we use Pythagorean theorem:
(34√3)² = (17√3)² + h²
h= √2601
h= 51
The answer for the height is 51.
