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A triangle with three equal sides has its area equal to 3√3 sq cm . Find its perimeter .

6√3 cm
2√3 cm
5√3 cm
7√3 cm

Correct Answer: 6√3 cm

Explanation:

According to the question,
√3a²/4 = 3√3 [ side = a, and area = √3a²/4]
⇒ a²/4 = 3
⇒ a² = 3 x 4
∴ a = 2√3
∴ Required perimeter = 3a
=3 x 2√3
= 6√3 cm

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