A triangle with three equal sides has its area equal to \( \Large \Large 3\sqrt{3} \)sq cm. Find its perimeter.

A) \( \Large 6\sqrt{3} \)cm

B) \( \Large 2\sqrt{3} \)cm

C) \( \Large 5\sqrt{3} \)cm

D) \( \Large 7\sqrt{3} \)cm

Correct Answer:
A) \( \Large 6\sqrt{3} \)cm

Description for Correct answer:

According to the question,

\( \Large \frac{\sqrt{3}}{4}a^{2}= 3\sqrt{3} \)

=> \( \Large \frac{1}{4}a^{2} \)=3 => \( \Large a^{2}=3\times 4 \)

a=\( \Large 2\sqrt{3} \)

Required perimeter=3a=\( \Large 3\times 2\sqrt{3} \)

=\( \Large 6\sqrt{3} \)




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