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9 October, 03:13

Find the diagonal of a square whose sides are of the given measure. Given = 6sqrt2

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  1. 9 October, 04:35
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    =12 units

    Step-by-step explanation:

    When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.

    Therefore, the Pythagoras theorem is used to find the hypotenuse.

    a² + b² = c²

    (6√2) ² + (6√2) ²=c²

    72+72=c²

    c²=144

    c=√144

    =12

    The diagonals of the square measure 12 units each.
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