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# 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

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

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=$$\Large 3\times 2\sqrt{3}$$

=$$\Large 6\sqrt{3}$$

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

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