Question

If the area of an equilateral triangle is 9√3 sq.cm. Find its perimeter.

Answer 1

hope you get your answer

Answer 2

$Let \: the \:side \:of \:an\: equilateral = a \:cm$

$Area \:of \: equilateral \:triangle = 9\sqrt{3}$

$\implies \frac{\sqrt{3}}{4}\times a^{2} = 9\sqrt{3}$

$\implies a^{2} = 9\sqrt{3} \times \frac{4}{\sqrt{3}}$

$\implies a^{2} = 9\times 4$

$\implies a = \sqrt{36}$

$\implies a = 6 \:cm$

$Now , Perimeter \:of \:the \\equilateral\: triangle = 3a \\= 3 \times 6 \:cm \\= 18 \:cm$

Therefore.,

$\red{Perimeter } \green {= 18 \:cm}$

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