SOLUTION: I have a law of cosines question: One side is 4cm and another is 5cm (this is NOT a right triangle). the angle between the sides is 50 degrees. I need to find the other sid

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Question 879347: I have a law of cosines question:
One side is 4cm and another is 5cm (this is NOT a right triangle).
the angle between the sides is 50 degrees.
I need to find the other side and the two other angles. Im guessing I use law of cosines and law of sines. Whenever I use law of cosines I get 1.5 for the other side which doesnt make sense. What am I doing wrong?
Also, i need to find the area of this triangle.

Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Show your work with the law of cosines that gets you to C = 1.5, and I'll tell you what you did wrong.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
This is a case of SAS, so we use the law of cosines.

















You can either finish by using the law of sine or 
you can use the law of cosines again.




You already have cē = 15.28849561





A = 78.4024367

Then to find C add those angles and subtract from 180°

B = 51.5975633

Edwin



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