Question

The area of equilateral triangle is 16 root 3 meter square. Find its perimeter

Answer 1

Answer:

Step-by-step explanation:-

Given:

Area of equilateral triangle = 16√3 m²

Let the side of equilateral triangle = a m

Area of equilateral triangle=  (√3/4)a²

16√3 = (√3/4)a²

16√3 × (4/√3) = a²

64 = a²

a = √64

a =√ 8 × 8 = 8 m

Side of equilateral triangle=  8 m

Perimeter of equilateral triangle= 3 × side

Perimeter of equilateral triangle= 3 × 8 = 24 m.

Hence, the perimeter of equilateral triangle= is 24 m.