Posted by Tabitha on .
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 "angle-side-angle" 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.