Answer
DC=7
EC=5
Work Step by Step
DE(12-DC)=7(5)
12DC-DC$^2$=35
DC$^2$-12DC+35=0
(DC-7)(DC-5)=0
DC=7 or 5
Since DC appears longer in the figure we'll say that DC=7 which means EC=5.
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 10
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