# Answer on Calculus Question for Samantha

Question #6029

A triangle has side c=2 and angles A=pi/4 and B=pi/6. Find the length of the side opposite A.

Expert's answer

sum of angles pi so angle C=pi-pi/4-pi/6=7pi/12

then we use sine theorem

a/sin(A)=c/sin(C) so a=c*sin(A)/sin(C)=sqrt(2)/sin(7pi/12)

then we use sine theorem

a/sin(A)=c/sin(C) so a=c*sin(A)/sin(C)=sqrt(2)/sin(7pi/12)

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