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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 55-70, set up an equation and solve each problem. (Objective 2)

The area of a triangular sheet of paper is 28 square inches. One side of the triangle is 2 inches more than three times the length of the altitude to that side. Find the length of the side and the altitude to the side.

To determine

To solve:

Each problem by setting up equation.

The lengths of each sides of a right triangle such that length of one side is two inches more than three times the length of the altitude.

Explanation

Let, length of altitude of the right triangle be x.

The length of the other side of the right triangle is 3x+2.

Area of the right triangle is 28 square inches.

In right angled triangles the area is half the product of base and altitude.

Hence, 12x(3x+2)=28

The quadratic equations are generally in the form x2+(a+b)x+(ab)=0.

12x(3x+2)=283x2+2x=563x2+2x56=0<

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