If the area of an equilateral triangle is 16 root 3 cm square find its

1.	If the area of an equilateral triangle is 16 root 3 cm square find its perimeter
Answer» Area of equilateral ∆ = 16√3 m²Let the side of equilateral ∆ = a mArea of equilateral ∆ = (√3/4)a²16√3 = (√3/4)a²16√3 × (4/√3) = a²64 = a²a = √64a =√ 8 × 8 = 8 mSide of equilateral ∆ = 8 mPerimeter of equilateral ∆ = 3 × sidePerimeter of equilateral ∆ = 3 × 8 = 24 m.Hence, the perimeter of equilateral ∆ is 24 m.

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