A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 12, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

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Answer 1 · 2018-05-17T05:38:59

We can not form a triangle with the given measurements

#a = 2,b = 12, hat A = (5pi)/24, hat B = (13pi)/24#

As per Law of Sines, #a / sin a = b / sin B#

#a / sin A = 2 / sin ((5pi)/24) = 3.29#

#b / sin B -= 12 / sin ((13pi)/24) = 12.1#

Since values don’t satisfy the sine law, we can not form a triangle with the given measurements