Using the law of sines and cosines solve the triangle.
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Sine rule: a/sinA=b/sinB=c/sinC. Cosine rule: a^2=b^2+c^2-2bccosA.

Put in what we know: a^2=625+441-2*25*21cos113=276035.2677, so a=38.422. 

38.422/sin113=25/sinB, so sinB=25sin113/38.422=0.59894. So B=36.79 degrees, and C=30.21 (subtracting the sum of A and B from 180). Check it out: c/sinC should be equal to a/sinA: 41.74=38.422/sin113. Checks out!

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