Question 1076608: Please help me solve the triangle from the given information of A = 35°, b = 8, c = 12
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Helps greatly to draw this.
Law of cosines
a^2=b^2+c^2-2bccos A
=64+144-2(96)cos 35=208-157.28=50.72
sqrt(50.72)=7.1
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Law of sines
7.1/sin 35=12.38
Therefore,
12.38=8/sin B
sin B=8/12.38=0.6462
Take the arc sin and the angle is 40.26 degrees
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C comes from 180 minus the other two angles, but do it with the 12.38 ratio
12.38=12/sin C
sin C=12/12.38=0.969
C=75.8 degrees OR 104.2 degrees
The angles are 104.2, 40.3 and 35=179.5, close to 180 given rounding.
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