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 6 - Section 6.4 - Some Constructions and Inequalities for the Circle - Exercises - Page 311: 31b

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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