Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 519: 9a

Answer

(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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