\"\"

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A) The side lengths are \"\".

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\"a               (Apply Pythagorean theorem)

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\"\"          (Substitute \"\")

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\"\"       (Evaluate powers: \"\")

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\"\"                (Add: \"\")

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So it is a right traingle.

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\"\"

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B) The side lengths are \"\".

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\"a              (Apply Pythagorean theorem)

\

\"\"       (Substitute \"\")

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

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\"\"           (Add: \"\")

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So it is a right traingle.

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\"\"

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C) The side lengths are \"\".

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\"a              (Apply Pythagorean theorem)

\

\"\"         (Substitute \"\")

\

\"\"      (Evaluate powers: \"\")

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\"\"               (Add: \"\")

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So it is not a right traingle. 

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\"\"

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D) The side lengths are \"\".

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\"a             (Apply Pythagorean theorem)

\

\"\"      (Substitute \"\")

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

\

\"\"          (Add: \"\")

\

So it is a right traingle.

\

\"\"

\

The lengths of (C) is not the side lengths of a right traingle.