Triangle fgh is an equilateral triangle with sides measuring 34 to the square root of 3 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.