Answer
$$AD=\frac{bc}{a+b} \\ DB= \frac{ac}{a+b}$$
Work Step by Step
The two triangles are similar. Thus, creating ratios for the two sides, we find that the length of AD and DB is:
$$AD=\frac{bc}{a+b} \\ DB= \frac{ac}{a+b}$$
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 10 - Section 10.4 - Analytic Proofs - Exercises - Page 473: 35
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