   Chapter 3.5, Problem 31E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 31 to 34, apply a form of Theorem 3.5.10. The sides of a triangle have lengths of 4 , 6 , and x . Write an inequality that states the possible values of x .

To determine

The inequality that states the possible values of x.

Explanation

Theorem:

The length of any side of a triangle must lie between the sum and difference of the lengths of the other two sides.

Given:

The side of a triangle have lengths of 4, 6, and x.

Calculation:

Consider a triangle,

The length of the two sides of a triangle is 4cm and 6cm.

Calculate the sum of the given sides.

4cm+6cm=10cm

Calculate the difference of the given sides

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