How do I write; the height h of an equilateral triangle as a function of its side length s?

Question

How do I write; the height h of an equilateral triangle as a function of its side length s?

Answer 1

If an equilateral triangle is bisected by a line segment h going from one corner to the middle of the opposite side, we obtain two 30°-60°-90° right triangles, the sides of which have the proportions 1 (hypotenuse) : (√3)/2 : 1/2. Therefore,

h = s*(√3)/2.