So because it's an equilateral triangle, you can cut the triangle in half and make a right triangle with a hypotenuse of 32. The bottom of the triangle would be half of 32, which is 16, because you cut the triangle in half. Now you can use the pythagorean theorem to solve for the height.
[tex] 16^{2} +b^{2} =32^{2} [/tex]
The answer is whatever b is:
b = [tex] \sqrt{ 32^{2} - 16^{2} [/tex]
So your answer is 27.713.
