   Chapter 13.2, Problem 67E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Special Triangle Show that a right triangle whose sides are in arithmetic progression is similar to a 3 − 4 − 5 triangle.

To determine

To prove:

Right triangle with sides in arithmetic progression is similar to 345 triangle.

Explanation

Given:

A right triangle with sides in arithmetic progression.

Approach:

Use Pythagoras theorem and given information that sides are in arithmetic progression to relate the length of the sides and compare the lengths to a 345 triangle.

Calculation:

Sides are in arithmetic progression so we can assume the length of the sides are:

a,a+d,a+2d where a,d are both positive.

Now applying the Pythagoras theorem to this right triangle we get:

Case 1: a>d

### 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 