The sides of the right triangle are and .
The hypotenuse is .
Find .
(Pythagorean theorem)
(Substitute and )
(Algebraic formula: )
(Evaluate powers and )
(Multiply)
(Subtract from each side)
(Apply additive inverse property: )
(Simplify)
(Factors of the the equation)
(Group of the factors)
(Take out common terms)
and (Separate solutions)
and (Simplify)
Measurements cannot be negative.
Therefore, .
Find and .
and (Original values)
and (Substitute in the values)
and (Addition:)
Therefore, the values are , and .
, and .
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