Question

An equilateral triangle has an altitude length of 36 feet. Determine the length of a side of the triangle.

Answer 1

41.57?

Answer 2

\[\frac{x^2}{4} + 36^2 = x^2\]
\[x^2 + 5184 = 4x^2\]
\[5184 = 3x^2\]
\[1728 = x^2\]
\[x = 41.57\]