Math/Trig
posted by Tabitha .
Given A=56degrees, C=61degrees, and b=10.5, solve triangle ABC. If no triangle exists, explain why. If two solutions exist, write both. Round your answer to the nearest tenth

This is an "anglesideangle" specified triangle, and is uniquely defined. The third angle B is obviously 180  56  61 = 63 degrees.
Use the Law of Sines for the other side lengths. For example:
b/sinB = 11.784 = a/sin A = a/0.8290
a = 9.769, round to 9.8
Similarly for c.