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: 6a

Answer

$b^{2}$ = $(5.7)^{2}$ + $(8.2)^{2}$ - 2*5.7*8.2 cos 79°

Work Step by Step

Given data a=5.7,c=8.2, β=79° Using theorem 11.4.3 In triangle ABC $b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac cos β $b^{2}$ = $(5.7)^{2}$ + $(8.2)^{2}$ - 2*5.7*8.2 cos 79°
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