Friday, April 4, 2014

A triangle has 45, 105 and 30 degree angles the smallest side is 8. What is the perimeter?

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
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