\"\"

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The rightangle triangle lenghts are \"\".

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The longest side is \"\", hence \"\", it is measure of the hypotenuse.

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Let \"\" and \"\" be the lengths of the two shorter sides.

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Here, \"\" and \"\".

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The Pythagorean theorem states that \"\".

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Then \"\".

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Check the values.

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\"\"                          (Pythagorean theorem)

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\"\"                   (Substitute \"\", \"\" and \"\")

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\"\"               (Evaluate powers: \"\" and \"\")

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\"\"                              (Add: \"\")

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Thus, the lengths \"\" form a right triangle.

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\"\"

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The lengths \"\" form a right triangle.