\"\"

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The lengths of two sides of a right triangle are \"\".

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To find: side b.

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Apply Pythagorean theorem: \"a

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\"\"                          (Substitute 30 for a and 50 for c)

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\"\"                      (Evaluate powers: \"\")\"\"\"\"  (Subtract 900 from each side)

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\"\"                                 (Subtract: \"\")

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\"\"                          (Apply square root to each side)

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\"\"                             (Write \"\")

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\"\"                                       (Cancel square and root)\"\"

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The length of the third side \"\".