The area of an equilateral triangle is 36 sqr | vedclass

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

Vedclass · Accepted Answer

$12$

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(B) The area of an equilateral triangle with side length $a$ is given by the formula: $	ext{Area} = \frac{\sqrt{3}}{4} a^2$.Given that the area is $36 \sqrt{3}$,we can set up the equation:$\frac{\sqrt{3}}{4} a^2 = 36 \sqrt{3}$.Divide both sides by $\sqrt{3}$:$\frac{1}{4} a^2 = 36$.Multiply both sides by $4$:$a^2 = 36 	imes 4 = 144$.Taking the square root of both sides:$a = \sqrt{144} = 12$.Therefore,the measure of its side is $12$.

The area of an equilateral triangle is $36 \sqrt{3}$. Find the measure of its sides.

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