Triangle fgh is an equilateral triangle with sides measuring units. what is the height of the triangle?

- "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."