The length of each side of an equilateral tri | vedclass

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(B) 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 $9 \

Vedclass · Accepted Answer

$6$

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(B) 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 $9 \sqrt{3} 	ext{ cm}^2$,we set up the equation:$9 \sqrt{3} = \frac{\sqrt{3}}{4} 	imes (	ext{side})^2$.Dividing both sides by $\sqrt{3}$,we get:$9 = \frac{1}{4} 	imes (	ext{side})^2$.Multiplying both sides by $4$,we get:$(	ext{side})^2 = 36$.Taking the square root of both sides,we find:$	ext{side} = \sqrt{36} = 6 	ext{ cm}$.

The length of each side of an equilateral triangle having an area of $9 \sqrt{3} \text{ cm}^2$ is (in $\text{cm}$):

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