Answer
DB=5$\frac{5}{9}$
DC=6$\frac{4}{9}$
Work Step by Step
CD$^2=AB$^2$-$AC$^2$
CD$^2$=400-256
CD=12
$\frac{AB}{BD}$=$\frac{AC}{CD}$
$\frac{20}{BD}$=$\frac{16}{12-BD}$
240-20BD=16BD
36BD=200
BD=5$\frac{5}{9}$
CD=12-BD
CD=6$\frac{4}{9}$
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 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 268: 20
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