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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