Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 165: 14b

Answer

You cannot draw this triangle.

Work Step by Step

Line segments with the length 6, 7, and 14 cannot form a triangle. In a triangle, the two shorter sides must be longer when combined than the length of the longest side. 6 + 7 $\lt$ 14, so the two short sides would not reach each other.
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