Given a scalene triangle with angles of A=38, B=83 and C=59, side opposite to angle C is measuring 20, how do you find lengths of other sides?

1 Answer
Alan P.
May 25, 2015

Assuming a triangle with sides a, b, c opposite angles A, B, C respectively
The Law of Sines says
a/sin(A) = b/sin(B) = c/sin(C)

for the given values this becomes
a/sin(38^@) = b/sin(83^@) = 20/sin(59^@)

a = 20/sin(59^@)*sin(38^@)= 12.88136

b= 20/sin(59^@)*sin(83^@) = 28.13559

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