Question

The area of an equilateral triangle is $36\sqrt{3}c{m}^2$. Find its perimeter.

Answer 1

Area of an equilateral triangle with length of side $a=\frac{\sqrt{3}}{4}{a}^2$
Given, area of the equilateral triangle $=36\sqrt{3}{cm}^2$
$\frac{\sqrt{3}}{4}{a}^2=36\sqrt{3}{cm}^2$
$\Rightarrow a^2=36\times 4=144$
$a=12cm$

Perimeter of the triangle $=$
Sum of all sides $=a+a+a=3a=3\times 12=36cm$