Question

If the area of an equilateral triangle is 64
$\sqrt{3cm {?}^{2}$

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Answer 1

Step-by-step explanation:

$\red{let \: the \: side \: of \: the \: equilateral \: triangle \: be \: a \: cm}$

$\blue{area \: of \: the \: triangle}$

$\pink{ \frac{ \sqrt3}{4} {a}^{2} = 64 \sqrt{3} }$

$\pink{ {a}^{2} = \frac{4 \times 64 \times \sqrt{3} }{ \sqrt{3} } }$

$\pink{ {a}^{2} = 256}$

$\pink{a = \sqrt{256} }$

$\pink{a = 16}$

Next we need to find perimeter:

$\green{perimeter of \: the \: triangle = 3a}$

$\green{3a \: = 3 \times 16}$

$\green{3 \times 16 = 48}$