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

1.	If the area of an equilateral triangle is 36√3 cm2, find its perimeter.
Answer» Let each side of an equilateral triangle be “a” cm Area of an equilateral triangle = 36√3 cm² (Given) Area of an equilateral triangle = √3/4 (side)² 36√3 = √3/4 x a² a² = 144 or a = 12 cm Perimeter = 3 (side) = 3 x 12 = 36 cm.

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

Answer»

Let each side of an equilateral triangle be “a” cm

Area of an equilateral triangle = 36√3 cm² (Given)

Area of an equilateral triangle = √3/4 (side)²

36√3 = √3/4 x a²

a² = 144

or a = 12 cm

Perimeter = 3 (side) = 3 x 12 = 36 cm.