Answer
$\overline{DE}=12$
Work Step by Step
Let $b = \overline{DE}$
$13^{2} = 5^{2}+ b^{2}$
Isolate $b$
$13^{2}-5^{2}=b^{2}$
$169-25=b^{2}$
$144=b^{2}$
Square root each side
$12=b$
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 5.4 - The Pythagorean Theorem - Exercises - Page 250: 8a
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