Question

The length of each side of an equilateral triangle of area 4√3 cm^2, is 

A.4 cm 

B.\(\frac{4}{\sqrt3}\) cm 

C.\(\frac{\sqrt{3}}4\) cm 

D. 3 cm

Answer 1

Area of an equilateral triangle = \(4\sqrt3\) cm²

Let side of equilateral triangle = a cm

Area of an equilateral triangle = \(\frac{\sqrt3a^2}{4}\) = \(4\sqrt3\)

⇒ a² = \(\frac{{4}\times{4}\sqrt{3}}{\sqrt3}\)

⇒ a = 4 cm