   Chapter 7.1, Problem 4E ### 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
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# In Exercises 3 to 8, use the drawing provided. Given: Obtuse ∆ A B C Construct: The bisector of ∠ B A C

To determine

To construct:

The bisector of BAC 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 AC and take A as centre, draw an arc on the sides of AB and AC 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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