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°
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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
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