Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 328: 43

Answer

The circle is in red in the attached diagram.

Work Step by Step

First, construct the triangle, and draw an angle bisector for each side. Then, draw a circle that hits the sides of the triangle but that does not ever leave the triangle. Be sure that this circle is centered on the point where the angle bisectors intersect.
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