Question 1135789
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Given Values:
b = 4.7
c = 6.6
Angle A = 118 is between sides b and c
<img src = "https://i.imgur.com/I9csCgG.png">
The placement of A between b and c is important, as it means we have a SAS (side angle side) case going on here. When it comes to SAS like this, we'll use the Law of Cosines.


Use the Law of Cosines to solve for side 'a'
a^2 = b^2 + c^2 - 2*b*c*cos(A)
a^2 = 4.7^2 + 6.6^2 - 2*4.7*6.6*cos(118)
a^2 = 22.09 + 43.56 - 62.04*cos(118)
a^2 = 22.09 + 43.56 - 62.04*(-0.469471562785891)
a^2 = 22.09 + 43.56 - (-29.1260157552366)
a^2 = 22.09 + 43.56 + 29.1260157552366
a^2 = 94.7760157552367
a = sqrt(94.7760157552367)
a = 9.7352974148321


Rounded to one decimal place, the final answer is <font color=red>a = 9.7</font>
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