If an equilateral triangle has the height of 12 cm, then what is the area of the triangle?

Explanation

For an equilateral triangle,

h=(√3)/(2)a.

Given h=12,

12=(√3)/(2)a
⇒ a=(24)/(√3)=8√3.

Area:

(√3)/(4)a^2
=(√3)/(4)(8√3)^2
=(√3)/(4)(192)
=48√3 cm².