Question

If the area of an equilateral triangle is 36√3 cm², find its perimeter.

Answer 1

Area of equilateral triangle = \(36\sqrt{3}\) cm²

Area of equilateral triangle = \((\frac{\sqrt{3}}{4}\times a^2)\), where a is the length of the side

\(\Rightarrow 36\sqrt{3}=\frac{\sqrt{3}}4{}\times a^2\)

\(\Rightarrow\) 144 = a²

\(\Rightarrow\) a = 12 cm

Perimeter of a triangle = 3a

= 3 x 12

= 36 cm