38

 PAGE: 634 SET: Exercises PROBLEM: 38

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)

(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)

Therefore, the values are , and .

, and .

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