Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.2 - Concurrence of Lines - Exercises - Page 337: 26

Answer

3

Work Step by Step

The radius is half of the length of the longest side in this case. Thus, we split the longest side in half to create a 30-60-90 triangle. By definition, in these triangles, the side the radius is on in this case is half of the length of the hypotenuse. Thus: $r = \frac{6}{2} = 3$
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