   Chapter 3.5, Problem 35E Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem

Prove by the indirect method: Given: Δ M P N is not isosceles Prove: P M ≠ P N

To determine

To prove:

The side PM¯ is not equal to the side PN¯.

Explanation

Given:

The triangle ΔMPN is not isosceles.

Definition:

A triangle with two equal sides is called isosceles triangle.

Approach:

Assume, the side PM¯ is equal to the side PN¯.

Since, the triangle with two equal sides is isosceles. Then, the triangle ΔMPN is isosceles.

But, from the given data the triangle ΔMPN is not isosceles

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