Question

A equaterial triangle's area 64cm then its height

Answer 1

equilateral triangle has area
$\frac{ \sqrt{ 3} {a}^{2} }{4}$
so 64 = (a^2)√3/4
so a = 16 x √(√3)
now height of triangle is
$\frac{ \sqrt{3} a}{2}$
which becomes
8 x √(3√3)