In triangle ABC, B=25.6°, C=124.4°, c=39.2cm. Solve the triangle completely

b/sinB = c/sinC

so that means
b/sin25.6° = 39.2/sin124.4°
b = 20.53
Now, since you have B and C, you know that A = 30°
and now
a/sinA = c/sinC
and just plug in your numbers again.