The length of a diagonal of a square is 12. T | vedclass

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(B) Let the side of the square be $a$.We know that the diagonal $d$ of a square is given by the formula $d = a \sqrt{2}$.Given that the diagonal $d =

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$6 \sqrt{2}$

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(B) Let the side of the square be $a$.We know that the diagonal $d$ of a square is given by the formula $d = a \sqrt{2}$.Given that the diagonal $d = 12$,we have:$12 = a \sqrt{2}$$a = \frac{12}{\sqrt{2}}$To rationalize the denominator,multiply the numerator and denominator by $\sqrt{2}$:$a = \frac{12 	imes \sqrt{2}}{\sqrt{2} 	imes \sqrt{2}}$$a = \frac{12 \sqrt{2}}{2}$$a = 6 \sqrt{2}$Therefore,the length of each side of the square is $6 \sqrt{2}$.

The length of a diagonal of a square is $12$. Then,the length of each side of the square is...........

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