Height of an equilateral triangle is 6 , cm. | vedclass

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(C) The formula for the altitude $(h)$ of an equilateral triangle with side length $(a)$ is given by: $h = \frac{\sqrt{3}}{2} 	imes a$ Given that the

Vedclass · Accepted Answer

$4 \sqrt{3}$

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(C) The formula for the altitude $(h)$ of an equilateral triangle with side length $(a)$ is given by: $h = \frac{\sqrt{3}}{2} 	imes a$ Given that the altitude $h = 6 \, cm$. Substituting the value in the formula: $6 = \frac{\sqrt{3}}{2} 	imes a$ $a = \frac{6 	imes 2}{\sqrt{3}}$ $a = \frac{12}{\sqrt{3}}$ Rationalizing the denominator: $a = \frac{12 	imes \sqrt{3}}{\sqrt{3} 	imes \sqrt{3}} = \frac{12 \sqrt{3}}{3} = 4 \sqrt{3} \, cm$ Therefore,the side of the equilateral triangle is $4 \sqrt{3} \, cm$.

Height of an equilateral triangle is $6 \, cm$. Find its side? (in $cm$)

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