Question

The area of an equilateral triangle is $25\sqrt{3}$ $c{m}^2$ . Find its sides.

Answer 1

Given area of equilateral triangle$=25\sqrt{3}c{m}^2$

Let $s$ be the side of equilateral triangle.

Area $=\frac{\sqrt{3}}{4}\times s^2$

$⟹25\sqrt{3}=\frac{\sqrt{3}}{4}\times s^2$

$s=\sqrt{25\times 4}=\sqrt{100}=10cm$