Question

if the area of an equilateral triangle is16√3cm2 the find perimeter.

Answer 1

✨✨✨soln ✨✨✨


Given, area of an equilateral triangle = 16√3 cm2
Area of an equilateral triangle = √3/4 (side)2
√3/4(Side)2 = 16√3 ⇒  (Side)2 = 64
⇒ Side =8 cm
[taking positive square root because side is always positive]
Perimeter of an equilateral triangle = 3 x Side= 3 x 8 = 24 cm
Hence, the perimeter of an equilateral triangle is 24 cm.



✨✨✨thanks ✨✨✨

Answer 2

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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