Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 315: 29b

Answer

AC

Work Step by Step

The larger inscribed angle in a circle corresponds to the larger intercepted arc. Since m$\angle$B is the largest, arc AC is the largest as well. The larger chord in a circle corresponds to the larger minor arc. Therefore, since arc AC is the largest, chord AC is the largest as well.
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