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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 1.CR, Problem 12CR
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Elementary Geometry for College St...

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

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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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A , B and C are three points on a line. A C = 8 , B C = 4 , and A B = 12 . Which point must be between the other two points?

To determine

To find:

The point that must be between the other two points.

Explanation

The segment Addition Postulate gives that if three points A, B and C are collinear and point C is between points A and B, then the sum of the lengths of AC and BC or CB is equal to the length of AB.

Given:

The points A, B and C are placed on a line.

AC=8

BC=4

And,

AB=12

Calculation:

The sum of the lengths are given as,

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Sect-1.1 P-1ESect-1.1 P-2ESect-1.1 P-3ESect-1.1 P-4ESect-1.1 P-5ESect-1.1 P-6ESect-1.1 P-7ESect-1.1 P-8ESect-1.1 P-9ESect-1.1 P-10E
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P-1CRSect-1.CR P-2CRSect-1.CR P-3CRSect-1.CR P-4CRSect-1.CR P-5CRSect-1.CR P-6CRSect-1.CR P-7CRSect-1.CR P-8CRSect-1.CR P-9CRSect-1.CR P-10CRSect-1.CR P-11CRSect-1.CR P-12CRSect-1.CR P-13CRSect-1.CR P-14CRSect-1.CR P-15CRSect-1.CR P-16CRSect-1.CR P-17CRSect-1.CR P-18CRSect-1.CR P-19CRSect-1.CR P-20CRSect-1.CR P-21CRSect-1.CR P-22CRSect-1.CR P-23CRSect-1.CR P-24CRSect-1.CR P-25CRSect-1.CR P-26CRSect-1.CR P-27CRSect-1.CR P-28CRSect-1.CR P-29CRSect-1.CR P-30CRSect-1.CR P-31CRSect-1.CR P-32CRSect-1.CR P-33CRSect-1.CR P-34CRSect-1.CR P-35CRSect-1.CR P-36CRSect-1.CR P-37CRSect-1.CR P-38CRSect-1.CR P-39CRSect-1.CR P-40CRSect-1.CR P-41CRSect-1.CR P-42CRSect-1.CR P-43CRSect-1.CR P-44CRSect-1.CR P-45CRSect-1.CR P-46CRSect-1.CR P-47CRSect-1.CR P-48CRSect-1.CR P-49CRSect-1.CR P-50CRSect-1.CR P-51CRSect-1.CR P-52CRSect-1.CT P-1CTSect-1.CT P-2CTSect-1.CT P-3CTSect-1.CT P-4CTSect-1.CT P-5CTSect-1.CT P-6CTSect-1.CT P-7CTSect-1.CT P-8CTSect-1.CT P-9CTSect-1.CT P-10CTSect-1.CT P-11CTSect-1.CT 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