A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 5, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (3pi)/8#. What is the area of the triangle?

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Answer 1 · 2018-02-17T12:02:22

We can not form a triangle

#a = 4, b = 5, hatA = (3pi)/8, hatB = (13pi)/24#

#hatC = pi - (3pi)/8 - (13pi)/24 = pi/12#

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#a/sin A = 4 / sin ((3pi)/8 )= 4.3296#

#b / sin B = 5 / sin ((13pi)/24) = 5.0431#

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