Question

solve this question ​

Answer 1

Answer: 12 cm

Step-by-step explanation:

Here

Answer 2

STEP BY STEP EXPLATION :-

$area \: of \: equliteral \: tri.\: = \frac{ \sqrt{3} }{4} \times {l}^{2} \\ 36 \sqrt{3} = \frac{ \sqrt{3} }{4} \times {(l)}^{2} \\ 36 \sqrt{3 } \times 4 = \sqrt{3} \times {(l)}^{2} \\ 144 \sqrt{3} = \sqrt{3} \times {(l)}^{2} \\ \frac{144 \sqrt{3} }{ \sqrt{3} } = {(l)}^{2} \\ 144 = {(l)}^{2} \\ l = \sqrt{144} \\ l = 12cm$

Perimeter of equilateral triangle :-

$= \: sum \: of \: all \: sides \\ = 12 + 12 + 12 \\ = 36 \: cm$

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