Question

Area of equilateral triangle is 24√3 find its perimeter

Answer 1

Answer:

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Answer 2

$Let \: Side \: of \: an \: equilateral \:triangle = a$

$\boxed { \pink { Area \: of \triangle = \frac{\sqrt{3}}{4} a^{2} }}$

$A = 24\sqrt{3} \: ( given )$

$\implies \frac{\sqrt{3}}{4} a^{2} = 24\sqrt{3}$

$\implies a^{2} = \frac{ 24\sqrt{3} \times 4}{\sqrt{3}}$

$\implies a^{2} = 96$

$\implies a = \sqrt{96}$

$\implies a = 4\sqrt{6}$

$Perimeter \: of \: an \: equilateral \: triangle = 3a \\= 3 \times 4 \sqrt{6} \\= 12\sqrt{6}$

Therefore.,

$\red{ Perimeter \: of \: an \: equilateral \: triangle}\green {= 12\sqrt{6} \: units }$

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