Chapter 8.1, Problem 38E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# The lengths of the legs of a right triangle are consecutive even integers. The numerical value of the area is three times that of the longer leg. Find the lengths of the legs of the triangle.

To determine

To find:

The lengths of the legs of the triangle.

Explanation

Finding the lengths of the legs of the right triangle is follow by the formulae,

Area of the right triangle A=12(aâ‹…b)Â unit2

Where a and b are the sides of the triangle.

Calculation:

Given,

The length of the legs of a right triangle are consecutive even integers. The numerical value of the area is three times that of the longer leg.

Let x and x+2 are the length of the two legs of a right triangle.

Here,

x+2 is the longer leg.

Area of the triangle (A) is 3 times of that longer leg.

(i.e.) A=3(x+2)

Area of the right triangle A=12(aâ‹…b)Â unit2

Where, a=xÂ andÂ b=x+2

A=12(x)(x+2)

Since, A=3(x+2)

3(x+2)=12(x)(x+2)

Divide by (

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts

Elementary Technical Mathematics

#### In Problems 7-12, find the third derivative.

Mathematical Applications for the Management, Life, and Social Sciences

#### The difference between population variance and sample variance.

Statistics for The Behavioral Sciences (MindTap Course List)

#### Evaluate the integral 39. 01/2xe2x(1+2x)2dx

Single Variable Calculus: Early Transcendentals

#### The scalar projection of on is:

Study Guide for Stewart's Multivariable Calculus, 8th

#### The appropriate option for the value of the indefinite integral âˆ«sinx2â€‰dx.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### In Exercises 1-22, evaluate the given expression. 6!2!3!

Finite Mathematics for the Managerial, Life, and Social Sciences