Question

If the altitude of an equilateral triangle is root6cm, then find its area.

Answer 1

h = root (3)/2 a

root (3)/2 a = root6

a = 2root6/root3

a = 2root2

A = root3/4 a^2

A = root3/4 (2root2)^2

A = root3/4 (8)

A = 2root3