SOLUTION: In /\ ABC, A=35 degrees, a=43, c=20. Determine whether /\ ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth.

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: In /\ ABC, A=35 degrees, a=43, c=20. Determine whether /\ ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth.      Log On

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Question 241302: In /\ ABC, A=35 degrees, a=43, c=20. Determine whether /\ ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth.
Answer by stellababy(3) About Me  (Show Source):
You can put this solution on YOUR website!
using sine rule to get angle b we have
20/sinx= 35/sin43
20sin43/35 = sinx
X= [20sin43/35]sine inverse
Subtract the sum of 43 degrees and x calculated above from 180 degrees to get angle C
To get the value of the third side c, apply sine rule again and get
20/angleB= c/angleC to get the third side