McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 10.1, Problem 5CE
To determine

To state: The theorem that can be applied to the given condition.

Expert Solution & Answer
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Answer to Problem 5CE

No, it’s not possible to construct a triangle whose sides have lengths r, s and t.

Explanation of Solution

Given information: Three lengths are given.

According to triangle inequality theorem,

In a triangle, the sum of the spans of any two sides is always greater than the span of the third side.

Observe the following figure:

  McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 10.1, Problem 5CE

Here, from the figure it can be observed that r+s<t

So, it’s not possible to construct a triangle whose sides have lengths r, s and t.

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Chapter 10.1, Problem 4CE
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Chapter 10.1, Problem 6CE

Chapter 10 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 10.1 - Prob. 1CECh. 10.1 - Prob. 2CECh. 10.1 - Prob. 3CECh. 10.1 - Prob. 4CECh. 10.1 - Prob. 5CECh. 10.1 - Prob. 6CECh. 10.1 - Prob. 1WECh. 10.1 - Prob. 2WECh. 10.1 - Prob. 3WECh. 10.1 - Prob. 4WE
Ch. 10.1 - Prob. 5WECh. 10.1 - Prob. 6WECh. 10.1 - Prob. 7WECh. 10.1 - Prob. 8WECh. 10.1 - Prob. 9WECh. 10.1 - Prob. 10WECh. 10.1 - Prob. 11WECh. 10.1 - Prob. 12WECh. 10.1 - Prob. 13WECh. 10.1 - Prob. 14WECh. 10.1 - Prob. 15WECh. 10.1 - Prob. 16WECh. 10.1 - Prob. 17WECh. 10.1 - Prob. 18WECh. 10.1 - Prob. 19WECh. 10.1 - Prob. 20WECh. 10.1 - Prob. 21WECh. 10.1 - Prob. 22WECh. 10.1 - Prob. 23WECh. 10.1 - Prob. 24WECh. 10.1 - Prob. 25WECh. 10.1 - Prob. 26WECh. 10.1 - Prob. 1MRECh. 10.1 - Prob. 2MRECh. 10.1 - Prob. 3MRECh. 10.1 - Prob. 4MRECh. 10.1 - Prob. 5MRECh. 10.1 - Prob. 6MRECh. 10.2 - Prob. 1CECh. 10.2 - Prob. 2CECh. 10.2 - Prob. 3CECh. 10.2 - Prob. 4CECh. 10.2 - Prob. 5CECh. 10.2 - Prob. 6CECh. 10.2 - Prob. 7CECh. 10.2 - Prob. 8CECh. 10.2 - Prob. 9CECh. 10.2 - Prob. 10CECh. 10.2 - Prob. 11CECh. 10.2 - Prob. 12CECh. 10.2 - Prob. 13CECh. 10.2 - Prob. 1WECh. 10.2 - Prob. 2WECh. 10.2 - Prob. 3WECh. 10.2 - Prob. 4WECh. 10.2 - Prob. 5WECh. 10.2 - Prob. 6WECh. 10.2 - Prob. 7WECh. 10.2 - Prob. 8WECh. 10.2 - Prob. 9WECh. 10.2 - Prob. 10WECh. 10.2 - Prob. 11WECh. 10.2 - Prob. 12WECh. 10.2 - Prob. 13WECh. 10.2 - Prob. 14WECh. 10.2 - Prob. 15WECh. 10.2 - Prob. 16WECh. 10.2 - Prob. 17WECh. 10.2 - Prob. 18WECh. 10.2 - Prob. 19WECh. 10.2 - Prob. 20WECh. 10.2 - Prob. 21WECh. 10.2 - Prob. 22WECh. 10.2 - Prob. 23WECh. 10.2 - Prob. 24WECh. 10.2 - Prob. 25WECh. 10.2 - Prob. 26WECh. 10.2 - Prob. 27WECh. 10.2 - Prob. 28WECh. 10.2 - Prob. 1EXCh. 10.2 - Prob. 2EXCh. 10.2 - Prob. 3EXCh. 10.3 - Prob. 1CECh. 10.3 - Prob. 2CECh. 10.3 - Prob. 3CECh. 10.3 - Prob. 4CECh. 10.3 - Prob. 5CECh. 10.3 - Prob. 6CECh. 10.3 - Prob. 1WECh. 10.3 - Prob. 2WECh. 10.3 - Prob. 3WECh. 10.3 - Prob. 4WECh. 10.3 - Prob. 5WECh. 10.3 - Prob. 6WECh. 10.3 - Prob. 7WECh. 10.3 - Prob. 8WECh. 10.3 - Prob. 9WECh. 10.3 - Prob. 10WECh. 10.3 - Prob. 11WECh. 10.3 - Prob. 12WECh. 10.3 - Prob. 13WECh. 10.3 - Prob. 14WECh. 10.3 - Prob. 15WECh. 10.3 - Prob. 16WECh. 10.3 - Prob. 17WECh. 10.3 - Prob. 1ST1Ch. 10.3 - Prob. 2ST1Ch. 10.3 - Prob. 3ST1Ch. 10.3 - Prob. 4ST1Ch. 10.3 - Prob. 5ST1Ch. 10.3 - Prob. 6ST1Ch. 10.3 - Prob. 7ST1Ch. 10.3 - Prob. 8ST1Ch. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 1MRECh. 10.3 - Prob. 2MRECh. 10.3 - Prob. 3MRECh. 10.3 - Prob. 1EXCh. 10.3 - Prob. 2EXCh. 10.4 - Prob. 1CECh. 10.4 - Prob. 2CECh. 10.4 - Prob. 3CECh. 10.4 - Prob. 4CECh. 10.4 - Prob. 5CECh. 10.4 - Prob. 6CECh. 10.4 - Prob. 7CECh. 10.4 - Prob. 1WECh. 10.4 - Prob. 2WECh. 10.4 - Prob. 3WECh. 10.4 - Prob. 4WECh. 10.4 - Prob. 5WECh. 10.4 - Prob. 6WECh. 10.4 - Prob. 7WECh. 10.4 - Prob. 8WECh. 10.4 - Prob. 9WECh. 10.4 - Prob. 10WECh. 10.4 - Prob. 11WECh. 10.4 - Prob. 12WECh. 10.4 - Prob. 13WECh. 10.4 - Prob. 14WECh. 10.4 - Prob. 15WECh. 10.4 - Prob. 16WECh. 10.4 - Prob. 17WECh. 10.4 - Prob. 18WECh. 10.4 - Prob. 19WECh. 10.4 - Prob. 20WECh. 10.4 - Prob. 21WECh. 10.5 - Prob. 1CECh. 10.5 - Prob. 2CECh. 10.5 - Prob. 3CECh. 10.5 - Prob. 4CECh. 10.5 - Prob. 5CECh. 10.5 - Prob. 6CECh. 10.5 - Prob. 7CECh. 10.5 - Prob. 8CECh. 10.5 - Prob. 9CECh. 10.5 - Prob. 10CECh. 10.5 - Prob. 11CECh. 10.5 - Prob. 1WECh. 10.5 - Prob. 2WECh. 10.5 - Prob. 3WECh. 10.5 - Prob. 4WECh. 10.5 - Prob. 5WECh. 10.5 - Prob. 6WECh. 10.5 - Prob. 7WECh. 10.5 - Prob. 8WECh. 10.5 - Prob. 9WECh. 10.5 - Prob. 10WECh. 10.5 - Prob. 11WECh. 10.5 - Prob. 12WECh. 10.5 - Prob. 13WECh. 10.5 - Prob. 14WECh. 10.5 - Prob. 15WECh. 10.5 - Prob. 16WECh. 10.5 - Prob. 17WECh. 10.5 - Prob. 18WECh. 10.5 - Prob. 1ST2Ch. 10.5 - Prob. 2ST2Ch. 10.5 - Prob. 3ST2Ch. 10.5 - Prob. 4ST2Ch. 10.5 - Prob. 5ST2Ch. 10.5 - Prob. 6ST2Ch. 10.5 - Prob. 7ST2Ch. 10.6 - Prob. 1CECh. 10.6 - Prob. 2CECh. 10.6 - Prob. 3CECh. 10.6 - Prob. 4CECh. 10.6 - Prob. 5CECh. 10.6 - Prob. 6CECh. 10.6 - Prob. 7CECh. 10.6 - Prob. 8CECh. 10.6 - Prob. 9CECh. 10.6 - Prob. 10CECh. 10.6 - Prob. 11CECh. 10.6 - Prob. 12CECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.7 - Prob. 1CECh. 10.7 - Prob. 2CECh. 10.7 - Prob. 3CECh. 10.7 - Prob. 4CECh. 10.7 - Prob. 5CECh. 10.7 - Prob. 6CECh. 10.7 - Prob. 7CECh. 10.7 - Prob. 8CECh. 10.7 - Prob. 9CECh. 10.7 - Prob. 10CECh. 10.7 - Prob. 1WECh. 10.7 - Prob. 2WECh. 10.7 - Prob. 3WECh. 10.7 - Prob. 4WECh. 10.7 - Prob. 5WECh. 10.7 - Prob. 6WECh. 10.7 - Prob. 7WECh. 10.7 - Prob. 8WECh. 10.7 - Prob. 9WECh. 10.7 - Prob. 10WECh. 10.7 - Prob. 11WECh. 10.7 - Prob. 12WECh. 10.7 - Prob. 13WECh. 10.7 - Prob. 14WECh. 10.7 - Prob. 15WECh. 10.7 - Prob. 16WECh. 10.7 - Prob. 17WECh. 10.7 - Prob. 18WECh. 10.7 - Prob. 19WECh. 10.7 - Prob. 20WECh. 10.7 - Prob. 21WECh. 10.7 - Prob. 22WECh. 10.7 - Prob. 23WECh. 10.7 - Prob. 24WECh. 10.8 - Prob. 1CECh. 10.8 - Prob. 2CECh. 10.8 - Prob. 1WECh. 10.8 - Prob. 2WECh. 10.8 - Prob. 3WECh. 10.8 - Prob. 4WECh. 10.8 - Prob. 5WECh. 10.8 - Prob. 6WECh. 10.8 - Prob. 7WECh. 10.8 - Prob. 8WECh. 10.8 - Prob. 9WECh. 10.8 - Prob. 10WECh. 10.8 - Prob. 11WECh. 10.8 - Prob. 12WECh. 10.8 - Prob. 13WECh. 10.8 - Prob. 14WECh. 10.8 - Prob. 15WECh. 10.8 - Prob. 16WECh. 10.8 - Prob. 17WECh. 10.8 - Prob. 18WECh. 10.8 - Prob. 19WECh. 10.8 - Prob. 1ST3Ch. 10.8 - Prob. 2ST3Ch. 10.8 - Prob. 3ST3Ch. 10.8 - Prob. 4ST3Ch. 10.8 - Prob. 5ST3Ch. 10.8 - Prob. 6ST3Ch. 10.8 - Prob. 7ST3Ch. 10.8 - Prob. 1ECh. 10.8 - Prob. 2ECh. 10.8 - Prob. 3ECh. 10.8 - Prob. 4ECh. 10.8 - Prob. 5ECh. 10.8 - Prob. 6ECh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 15CRCh. 10 - Prob. 16CRCh. 10 - Prob. 17CRCh. 10 - Prob. 18CRCh. 10 - Prob. 19CRCh. 10 - Prob. 20CRCh. 10 - Prob. 21CRCh. 10 - Prob. 22CRCh. 10 - Prob. 23CRCh. 10 - Prob. 24CRCh. 10 - Prob. 25CRCh. 10 - Prob. 26CRCh. 10 - Prob. 27CRCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 1ARCh. 10 - Prob. 2ARCh. 10 - Prob. 3ARCh. 10 - Prob. 4ARCh. 10 - Prob. 5ARCh. 10 - Prob. 6ARCh. 10 - Prob. 7ARCh. 10 - Prob. 8ARCh. 10 - Prob. 9ARCh. 10 - Prob. 10ARCh. 10 - Prob. 11ARCh. 10 - Prob. 12ARCh. 10 - Prob. 13ARCh. 10 - Prob. 14ARCh. 10 - Prob. 15ARCh. 10 - Prob. 16ARCh. 10 - Prob. 17ARCh. 10 - Prob. 18ARCh. 10 - Prob. 19ARCh. 10 - Prob. 20ARCh. 10 - Prob. 21ARCh. 10 - Prob. 22ARCh. 10 - Prob. 23ARCh. 10 - Prob. 24ARCh. 10 - Prob. 25ARCh. 10 - Prob. 26ARCh. 10 - Prob. 27ARCh. 10 - Prob. 28ARCh. 10 - Prob. 29ARCh. 10 - Prob. 30ARCh. 10 - Prob. 31ARCh. 10 - Prob. 32ARCh. 10 - Prob. 1CURCh. 10 - Prob. 2CURCh. 10 - Prob. 3CURCh. 10 - Prob. 4CURCh. 10 - Prob. 5CURCh. 10 - Prob. 6CURCh. 10 - Prob. 7CURCh. 10 - Prob. 8CURCh. 10 - Prob. 9CURCh. 10 - Prob. 10CURCh. 10 - Prob. 11CURCh. 10 - Prob. 12CURCh. 10 - Prob. 13CURCh. 10 - Prob. 14CURCh. 10 - Prob. 15CURCh. 10 - Prob. 16CURCh. 10 - Prob. 17CURCh. 10 - Prob. 18CURCh. 10 - Prob. 19CUR

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