A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 4, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (11pi)/24#. What is the area of the triangle?

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Answer 1 · 2018-02-17T16:21:12

We can not form a triangle.

#hatC = pi - (11pi)/24 - (5pi)/24 = pi/3#

#a/ sin A = 5 / sin ((11pi)/24) = 5.0431#

#b / sin B = 4 / sin ((5pi)/24) = 6.5707#

Since #a / sin A != b / sin B#, we cannot form a triangle.