In a square, one diagonal is $16$ cm. Find the side of the square.

10.13 c m

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11.31 c m

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12.13 c m

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14.31 c m

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Solution

The correct option is A $11.31 c m$
$I f s i d e o f s q u a r e i s o f l e n g t h a t h e n l e n g t h o f d i a g o n a l i s a \sqrt{2} ∴ a \sqrt{2} = 16 c m ∴ a = (\frac{16}{\sqrt{2}}) 8 \sqrt{2} c m = 11.31 c m (a p p r o x)$

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