If the area of an equilateral triangle is 16 | vedclass

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(C) The area of an equilateral triangle is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Given that the area is $16

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(C) The area of an equilateral triangle is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Given that the area is $16 \sqrt{3} \, cm^{2}$,we have:$16 \sqrt{3} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Dividing both sides by $\sqrt{3}$:$16 = \frac{1}{4} 	imes (	ext{side})^2$.Multiplying by $4$:$(	ext{side})^2 = 16 	imes 4 = 64$.Taking the square root:$	ext{side} = \sqrt{64} = 8 \, cm$.The perimeter of an equilateral triangle is $3 	imes 	ext{side}$:$	ext{Perimeter} = 3 	imes 8 = 24 \, cm$.

If the area of an equilateral triangle is $16 \sqrt{3} \, cm^{2}$,then the perimeter of the triangle is (in $cm$)

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