Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 174: 35


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Work Step by Step

Assuming, that $\overline{PM} = \overline {PN}$ in the triangle PMN two sides are equal. By definition PMN, then is an isosceles triangle. But triangle PMN is not an isosceles triangle. Therefore $\overline{PM} \ne \overline{PN}$
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