Answer
$r=6$
Work Step by Step
$a^{2}+c^{2}=d^{2}$
$r^{2}+8^{2}=(4+r)^{2}$
$r^{2}+64=(4+r)^{2}$
$r^{2}+64=16+8r+r^{2}$
$r^{2}+48=8r+r^{2}$
$48=8r$
$r=6$
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: 45
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