Question

The area of an equilateral triangle is 16 root 3 cm^2.Find its perimeter.

Answer 1

Given:
Area of equilateral ∆ = 16√3 m²

Let the side of equilateral ∆ = a m

Area of equilateral ∆ =(√3/4)a²

so,
16√3 = (√3/4)a²
16√3 × (4/√3) = a²
64 = a²
a = √64
a =√ (8 × 8) = 8 m
Side of equilateral ∆ = 8 m
Perimeter of equilateral ∆ = 3 × side
Perimeter of equilateral ∆ = 3 × 8 = 24 m.

Hence, the perimeter of equilateral ∆ is 24 m.

Thank you :)