In a square,the length of a diagonal is 8. Fi | vedclass

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(C) Let the side length of the square be $a$.In a square,the diagonal $d$ is related to the side $a$ by the formula $d = a \sqrt{2}$.Given that the di

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$4$

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(C) Let the side length of the square be $a$.In a square,the diagonal $d$ is related to the side $a$ by the formula $d = a \sqrt{2}$.Given that the diagonal $d = 8$,we have $8 = a \sqrt{2}$.To find the side length $a$,we divide both sides by $\sqrt{2}$:$a = \frac{8}{\sqrt{2}}$.Rationalizing the denominator:$a = \frac{8}{\sqrt{2}} 	imes \frac{\sqrt{2}}{\sqrt{2}} = \frac{8 \sqrt{2}}{2} = 4 \sqrt{2}$.Thus,the length of the side of the square is $4 \sqrt{2}$.

In a square,the length of a diagonal is $8$. Find the length of the sides of the square. (in $\sqrt{2}$)

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