   Chapter 1.CR, Problem 49CR ### 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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# Given: Triangle P Q R Construct: The three angle bisectors What did you discover about the three angle bisectors of this triangle? To determine

To find:

The complete construction of the three angle bisectors of a triangle PQR and find the nature of the three angle bisectors of this triangle.

Explanation

Given:

The given triangle PQR is,

Approach:

The steps are given below for the complete construction.

a) Draw three circles using the given points P,Q,R as centers. Get the point of intersection as,

b) Draw six circles using the points obtained above as centers. Get the point of intersection as,

c) Draw three lines PL¯,RJ¯ and QK¯ which is angle bisectors of the triangle PQR.

The complete construction is,

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