Answer
AE$\approx$6.7
Work Step by Step
$\frac{AE}{AC}$=$\frac{AD}{AD+AE}$
$\frac{AE}{18}$=$\frac{4}{4+AE}$
AE$^2$+4AE-72=0
AE=$\frac{-4+\sqrt {16+288}}{2}$
AE=-2+.5$\sqrt {304}$
AE$\approx$6.7
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 5 - Section 5.2 - Similar Polygons - Exercises - Page 234: 24
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