   Chapter 8.4, Problem 20E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Two sides of a triangle measure 5 in and 7 in. What are the limits of the length of the third side.

To determine

To Find:

The limits of the length of the third side of a triangle.

Explanation

Consider the following triangle with three sides AB, AC, BC. AD represents the angle bisector.

Here, ADBC. It means AD bisects the side BC.

It is given that, two sides of a triangle are 5 in and 7 in.

If AB=5 in and BC=7 in.

In triangle ADB, AB=5 in and BD=3.5 in and DC=3.5 in.

According to Pythagoras theorem, AB2=AD2+BD2.

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