Answer
GD=1
Work Step by Step
GD(AD-GD)=EG(GB)
9GD-GD$^2$=8
GD$^2$-9GD+8=0
(GD-8)(GD-1)=0
Since GD appears shorter in the picture we'll say GD=1 while AG=8.
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 6 - Review Exercises - Page 315: 24f
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