SOLUTION: b=4, c=3,B=40 degrees determine whether the given information results in one triangle, two triangle, or no triangle. Solve each triangle that results.

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Question 930355: b=4, c=3,B=40 degrees
determine whether the given information results in one triangle, two triangle, or no triangle. Solve each triangle that results.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines,
b%2Fsin%28B%29=c%2Fsin%28C%29
4%2Fsin%2840%29=3%2Fsin%28C%29
sin%28C%29=%283%2F4%29sin%2840%29
sin%28C%29=%283%2F4%29%280.6428%29
sin%28C%29=0.4820
C=28.8 degrees
.
.
.
A%2BB%2BC=180
A%2B40%2B28.8=180
A=111.2 degrees
Again use the law of sines,
a%2Fsin%28111.2%29=4%2Fsin%2840%29
a=5.8