Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 160: 35

Answer

See the picture below:
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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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