$\"\"$

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The sides of the right triangle are $\"\"$ and $\"\"$ .

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The hypotenuse is $\"\"$ . \ \

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Find $\"\"$ .

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$\"\"$ (Pythagorean theorem)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Algebraic formula: $\"\"$ )

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$\"\"$ (Algebraic formula: $\"\"$ )

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$\"\"$ (Evaluate powers $\"\"$ and $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Combine like terms)

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

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Factors of the the equation)

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$\"\"$ (Group of the factors)

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$\"\"$ (Take out common terms)

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$\"\"$ and $\"\"$ (Separate solutions)

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$\"\"$ and $\"\"$ (Simplify)

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The missing measurements are $\"\"$ and $\"\"$ . $\"\"$

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Find $\"\"$ and $\"\"$ .

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Case(i): $\"\"$

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$\"\"$ and $\"\"$ (Original values)

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$\"\"$ and $\"\"$ (Substitute $\"\"$ in the values)

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$\"\"$ and $\"\"$ (Simplify)

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Therefore, the values are $\"\"$ and $\"\"$ .

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Case(ii): $\"\"$

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$\"\"$ and $\"\"$ (Original values)

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$\"\"$ and $\"\"$ (Substitute $\"\"$ in the values)

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$\"\"$ and $\"\"$ (Simplify)

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Therefore, the values are $\"\"$ and $\"\"$ .

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Hence, measurement can not be negative values.

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so the value of measures are $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$ .