Answer
$r=5$
Work Step by Step
$a^{2}+c^{2}=d^{2}$
$r^{2}+12^{2}=(8+r)^{2}$
$r^{2}+144=(8+r)^{2}$
$r^{2}+144=r^{2}+16r+64$
$144=16r+64$
$144=16r+64$
$80=16r$
$r=5$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set - Page 12: 46
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