Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 302: 25b

Answer

AB$\gt$BC

Work Step by Step

The larger intercepted arc corresponds to the larger central angle. Therefore arc AB is larger than arc BC. Furthermore, in a circle the larger of to minor arcs corresponds to the larger chord. Therefore chord AB is also longer than chord BC.
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