math question please help. triangle!?

Question

let T be an equilateral triangle of height k. let S be a square of side s. if T and S have the same area, then find h/s.

Answer 1

At = (1/2)bh = (1/2)(h/√3)(h) = h^2/√3
As = s^2
At = As
h^2/√3 = s^2
h^2/s^2 = √3
h/s = (3)^(1/4) [or h/s = √(√3)]