   Chapter 5.CR, Problem 28CR Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Prove that if a line bisects one side of a triangle and is parallel to a second side, then it bisects the third side.

To determine

To prove:

The line bisects the third side of a triangle.

Explanation

Consider a ABC,

Let DE¯ be the line bisects AB¯ and is parallel to BC¯.

Therefore, D is the midpoint of AB¯.

To prove: DE¯ bisects AC¯.

It is enough to prove that E is the midpoint of AC¯

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