The side of an equilateral triangle whose area is 4√3 cm2 is:

A 1 cm

B 2 cm

C 3 cm

D 4 cm

E None of these

Solution

Correct Answer: Option D

We know that,

Area of an equilateral triangle is given by the formula

\(area = \;\frac{{\sqrt 3 }}{4} \times {\left( {side} \right)^2}\)

\(\Rightarrow 4\sqrt 3 = \frac{{\sqrt 3 }}{4} \times {\left( {side} \right)^2}\)

⇒ side2 = 4 cm × 4 cm

⇒ side = 4 cm

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