\"\"

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The give side measures are 15, \"\", 16.

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Since the measure of the longest side is 16, So let c = 16, a = 15 and b = \"\".

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Then apply Pythagorean theorem: \"\".

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\"\"           (Substitute c = 16, a = 15 and b = \"\")\"\"

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Evaluate powers: \"\".

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\"\"

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\"\"

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Since \"\", the triangle is a right triangle.\"\"

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The measures \"\", the triangle is a right triangle.