Question

find the length of the side &perimeter of an equilateral triangle whose height is √5​

Answer 1

Answer:

The height here is the √3 ratio, which in this case is equivalent to 8, so to get the length of the other two sides, we put 8 over √3 (8/√3) and 2 * 8/√3 = 16/√3, which is the hypotenuse of our 30:60:90 triangle. The perimeter is then 3 * 16/√3, or 48/√3.