Posted by **Tabitha** on Thursday, January 13, 2011 at 2:04am.

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

- Math/Trig -
**drwls**, Thursday, January 13, 2011 at 5:56am
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.

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