Question

The area of an equilateral triangle is 144√3 sq. cm, find its perimeter.

Answer 1

We know that:

Area of equilateral triangle is:

$\frac{\sqrt{3}a^2}{4}$ where a is the side

So:

$\frac{\sqrt{3}a^2}{4}=144\sqrt{3}cm^2$

We cancel $\sqrt{3}$ both sides

$\implies \frac{a^2}{4}=144$

$a^2=144*4\implies 576$

$a=\sqrt{576}$

$a=24$

Perimeter=3*a.

So perimeter=3*24

=72

Thats your answer: 72

Hope it helps you.

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