Question

The area of an equilateral triangle is
$16 \sqrt{3}$
Then its perimeter is...??
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Answer 1

$\large{\underline{\underline{\mathfrak{\green{\sf{Question:-}}}}}}$.

• The area of an equilateral triangle is
• $16 \sqrt{3}$
• Then its perimeter is...??

$\large{\underline{\underline{\mathfrak{\sf{Given\:Here:-}}}}}$.

• Area of equilateral triangle = $\:16\sqrt{3}$

$\large{\underline{\underline{\mathfrak{\sf{Find\:Here:-}}}}}$.

• Perimeter of equilateral triangle

$\large{\underline{\underline{\mathfrak{\sf{Explanation:-}}}}}$.

We Know ,

$\bold{\boxed{\boxed{\:Area\:=\frac{1}{4}\:×\sqrt{3}\:×\:a}}}$

• where, a = side of equilateral triangle

So,

$\implies\:16\sqrt{3}\:=\frac{1}{4}\:\sqrt{3}\times\:a$

$\implies\:a\:=\frac{16\cancel{\sqrt{3}}\times\:4}{\cancel{\sqrt{3}}}$

$\implies\:a\:=\:16\times\:4$

$\implies\boxed{\:a\:=\:64}$

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Now, we know

$\bold{\boxed{\boxed{\:Perimeter\:of\:equilateral\:triangel\:=\:3a}}}$

Keep value of a = 64

$\implies\:Perimeter\:=\:3\times\:64$

$\implies\:Perimeter\:=\:192$

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$\large{\underline{\underline{\mathfrak{\green{\sf{ANSWER:-}}}}}}$.

• Perimeter of equilateral triangle = 192 units

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