Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 527: 9a


(3, 4, 5) is a Pythagorean Triple. γ lies opposite the longest side and must be a right angle.

Work Step by Step

To measure the value of r, We need to use the law of cosines Since the sides of the triangle is given. They are Pythagorean triplet $c^{2}$ = $a^{2}$ +$b^{2}$ $5^{2}$ = $3^{2}$ +$4^{2}$ 25 = 9 + 16 25 = 25
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