Question

If the area of an equilateral triangle is 16 root 3 cm square then what is its perimeter

Answer 1

Given:

Area of equilateral ∆ = 16√3 m²

Let the side of equilateral ∆ = a m

Area of equilateral ∆ = (√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 ∆ = 8 m

Perimeter of equilateral ∆ = 3 × side

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

Hence, the perimeter of equilateral ∆ is 24 m.

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