Question

The area of an equilateral triangle is 36√3 sq. cm. Find its perimeter.

Answer 1

Area of equilateral triangle of side a = a²√3/4
a²√3/4 = 36√3
a² = 36*4
a = 12
perimeter of equilateral triangle = 3a = 3*12 = 36 cm.

hope u can understand...

Answer 2

$Area = \frac{\sqrt{3}a^2}{4} = 36\sqrt{3}\ cm^2 \\ \\ \sqrt{3}a^2 = 36\sqrt{3} \times 4 = 144\sqrt{3} \\ \\ a^2 = \frac{144\sqrt{3}}{\sqrt{3}} = 144 \\ \\ a = \sqrt{144} = 12\ cm \\ \\ Perimeter = 3a = 3 \times 12 = \bold{36 cm}$

$Thank\ you. \\ \\ \\ \#adithyasajeevan$