Elementary Geometry for College Students (5th Edition)

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

Chapter 6 - Section 6.3 - Line and Segment Relationships in the Circle - Exercises - Page 308: 37

Answer

12

Work Step by Step

We know that OQ is given by: $4 + 9 = 13$. We now consider the difference in height to find the second side of the triangle: $=9-4=5$ Thus, we obtain: $AB = \sqrt{13^2 - 5^2} = 12$
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