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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 105 –114, set up an equation and solve each problem.

The area of a triangle is 39 square feet. The length of one side is 1 foot more than twice the altitude to that side. Find the length of that side and the altitude to the side.

To determine

To find:

The side and altitude of the triangle.

Explanation

Approach:

1) Like terms are terms that contain exactly the same variables raised to exactly the same powers.

2) Two like terms can be added or subtracted in any polynomial.

3) Factorize the polynomial using middle term splitting or algebraic formula.

4) If ab = 0, then a = 0 or b = 0

Calculation:

Let the altitude and side of the triangle be x and y.

It is given that the length of one side is 1 foot more than twice the altitude to that side.

y=2x+1

It is given that area of triangle is 39 square feet.

12xy=39xy=78

Substitute y = 2x + 1 in xy = 78.

x(2x+1)=782x2+x=782x212x+13x78=02x(x6)13(x6)=

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