Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 6 - Review Exercises - Page 307: 33

Answer

The lengths are 14 cm and 15 cm.

Work Step by Step

We call one length $x$ and the other length $29 - x$. Thus, the Pythagorean theorem for the entire triangle becomes: $(x+6)^2 + (35-x)^2 = 29^2 \\ 2x^2 -58x +420 = 0 \\ (2)(x-14)(x-15) = 0 \\ x = 14, 15$
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