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Intermediate Algebra

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

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Chapter
Section
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 lengths of three sides of a right triangle are represented by consecutive whole numbers. Find the lengths of three sides.

To determine

To solve:

Each problem by setting up equation.

The lengths of each sides of a right triangle which are represented by consecutive whole numbers.

Explanation

Let, length of one side of the right triangle be x.

The length of the other side of the right triangle is x+1.

The hypotenuse is the longest of the three sides

Hence, the length of the hypotenuse is x+2.

In right angled triangles the sum of squares of the smallest side is equal to the square of the longest side.

Hence, x2+(x+1)2=(x+2)2

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

Where, a and b are solutions of the quadratic equation

x2+(x+1)2=(x+2)2x2+x2+2x+1=x2

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