Question

The altitude of an equilateral triangle is 6 square 3 units long. The length of one side of the triangle is ____ units.

Answer 1

You must mean 6 square root of 3, or 6√3

let each side be 2x
then
x^2 + (6√3)^2 = (2x)^2
x^2 + 108 = 4x^2
3x^2 = 108
x^2 = 36
x = 6

So each side is 12 units long