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 307: 9

Answer

EC=4 DC=12

Work Step by Step

EC(DC-EC)=AE(EB) EC(16-EC)=8(6) 16EC-EC$^2$=48 EC$^2$-16EC+48=0 (EC-12)(EC-4)=0 Since EC appears shorter in the figure we'll say EC=4 which means DE=12.
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