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 7.3 - More about Regular Polygons - Exercises - Page 343: 28

Answer

a) An equilateral triangle exists, but a concave triangle does not. b) A equilateral pentagon and a concave pentagon both exist.

Work Step by Step

An equilateral polygon has the same angle and side length everywhere. Thus, both a triangle and a pentagon can be equilateral. A concave polygon has one angle which is between 180 and 360 degrees. This is possible for a pentagon but not for a triangle.
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