Math, asked by alakhprasad29, 4 months ago

The square of the hypotenuse of a square is 128cm². find the length of the side of the square​

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Answered by ishu5465
2

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Answered by Dinosaurs1842
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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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