The square of the hypotenuse of a square is 128cm². find the length of the side of the square
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The square of the hypotenuse of a square is 128cm². find the length of the side of the square.
given,
square of hypotenuse = 128cm²
find the side of square.
we know that,
in a square the sides are equal,
so let the side be x
then,
(the hypotenuse is basically the diagonal of the square, so by using the Pythagoras theorem we can find the side, as the interior angles of a square is are 90°)
x² + x² = 128
2x² = 128
x² = 128/2
x² = 64
x = √64
x = 8cm
hence the sides are 8cm
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