What is the perimeter of an equilateral trian | vedclass

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(C) The formula for the area of an equilateral triangle is $	ext{Area} = \frac{\sqrt{3}}{4} 	imes a^2$,where $a$ is the side length.Given $	ext{Are

Vedclass · Accepted Answer

$12$

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(C) The formula for the area of an equilateral triangle is $	ext{Area} = \frac{\sqrt{3}}{4} 	imes a^2$,where $a$ is the side length.Given $	ext{Area} = 4 \sqrt{3} 	ext{ cm}^2$.So,$\frac{\sqrt{3}}{4} 	imes a^2 = 4 \sqrt{3}$.Dividing both sides by $\sqrt{3}$,we get $\frac{a^2}{4} = 4$.$a^2 = 16$,which implies $a = 4 	ext{ cm}$.The perimeter of an equilateral triangle is $3 	imes a$.Perimeter $= 3 	imes 4 = 12 	ext{ cm}$.

What is the perimeter of an equilateral triangle whose area is $4 \sqrt{3} \text{ cm}^2$?

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