SOLUTION: a triangle has 45, 105 and 30 degree angles the smallest side is 8. What is the perimeter

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Question 859595: a triangle has 45, 105 and 30 degree angles the smallest side is 8. What is the perimeter
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
We can use the Law of Sines:
8%2Fsin%2830%29=b%2Fsin%2845%29
b=8sqrt%282%29
8%2Fsin%2830%29=c%2Fsin%28105%29
c=8sqrt%28sqrt%283%29%2B2%29

P=8%281%2Bsqrt%282%29%2Bsqrt%28sqrt%283%29%2B2%29%29
rounded...P=34.77