SOLUTION: if a=√3+1,B=30 degrees, C=45 degrees then c=?

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Question 479118: if a=√3+1,B=30 degrees, C=45 degrees then c=?
Found 2 solutions by Tatiana_Stebko, lwsshak3:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
if B=30 degrees, C=45 degrees, then A=180-(B+C) degrees,
A=180-(30+45)=105 degrees
Use the law of sines
a%2Fsina=c%2Fsinc
%28sqrt%283%29%2B1%29%2Fsin105=c%2Fsin45multiply by sin45
c=%28%28sqrt%283%29%2B1%29sin45%29%2Fsin105
sin45=sqrt%282%29%2F2


Answer c=2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
if a=√3+1,B=30 degrees, C=45 degrees then c=?
**
Let A, B, & C be the 3 angles of a triangle, and a, b, and c the corresponding sides opposite these angles:
A+B+C=180º
A+30+45=180
A=180-75=105º
Using Law of Sines
sin A/a=sin C/c
c=(sin C/sin A)*a
c=(sin 45/sin 105)*√3+1
c=2