$\"\"$

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The side lengths of a right triangle are $\"\"$ ; $\"a$

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Apply Pythagorean theorem: $\"a$

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$\"\"$ (Substitute 30 for b and 32 for c)

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

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$\"\"$ (Subtract 900 from each side)

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

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$\"\"$ (Take square root to each side)

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$\"\"$ (Write $\"\"$ )

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$\"\"$ (Product property of square roots: $\"square$ )

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$\"\"$ (Write $\"\"$ )

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

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The unknown length of $\"\"$ .