Question

the area of an equilateral triangle is36√3 cm . find its perimeter??

Answer 1

Hey friend!!


Here's ur answer...

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Area of an equilateral triangle =
$\frac{ \sqrt{3} }{4} {a}^{2} \: \: \: \: \: \: where \:a \: is \: the \: side \: of \: the \: triangle. \\ \frac{ \sqrt{3} }{4} {a}^{2} = 36 \sqrt{3} \\ \frac{ {a}^{2} }{4} = 36 \\ {a}^{2} = 144 \\ a = \sqrt{144} \\ a = 12 \:cm$
So, side = 12 cm.

Perimeter = 3a = 3 × 12 =36 cm


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Hope it may help you...


Thank you :) :)))