Question

What is the perimeter of an equilateral triangle pose area is 4 square root 3

Answer 1

`\bf \textit{Area of an equilateral triangle}\\\\ A=\cfrac{s^2√(3)}{4}\qquad \begin{cases} s=\textit{length of one side}\\ ----------\\ A=4√(3) \end{cases} \implies 4√(3)=\cfrac{s^2√(3)}{4} \\\\\\ \cfrac{4\cdot 4√(3)}{√(3)}=s^2\implies \sqrt{\cfrac{4\cdot 4√(3)}{√(3)}}=s \\\\ -----------------------------\\\\ perimeter=s+s+s=3s\impliedby \textit{since all sides are equal}`

Answer 2

P≈9.12
area 4

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