   Chapter 7.1, Problem 3E 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 bisector of ∠ A B C

To determine

To construct:

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

Explanation

Definition:

The locus of points in a plane and equidistant from the sides of an angle is the angle bisector.

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 shorter than AB and BC and take B as centre, draw an arc on the sides of AB and BC and label them as 1 and 2 respectively.

Step 2: Take 1 and 2 as centre and draw the arcs inside the triangle to obtain a point D

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