Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 160: 28

Answer

1. We are told that DC is congruent to AB. 2. EC has length greater than 0 (given). 3. DE equals EC plus DC. 4. Thus, DE is longer than DC. 5. Since DC is congruent to AB, if DE is longer than DC, then DE is longer than AB. 6. DE is longer than AB.
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