   Chapter 7.1, Problem 5E 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

In Exercises 3 to 8, use the drawing provided. Given: Obtuse ∆ A B C Construct: The perpendicular bisector of A B -

To determine

To construct:

The perpendicular bisector of AB- for the obtuse ABC as shown in the given figure.

Explanation

Definition:

Perpendicular bisector of a triangle is a line passing through the midpoint of the particular side of the triangle.

Calculation:

The given obtuse ABC is shown below:

To construct a bisector we follow the below procedure.

Step 1: Using the compass, take a length of two-third of the length of AB and take A as centre, draw an arc inside of the triangle.

Step 2: Similarly, take B as centre, draw an arc in the same side of arc drawn earlier to obtain a point D

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