A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 7, respectively. The angle between A and C is #(17pi)/24# and the angle between B and C is # (pi)/24#. What is the area of the triangle?

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Answer 1 · 2018-04-08T01:49:59

#color(red)("Since the given measurements ") color(maroon)(" do not satisfy the Sine Law"), color(red)(" we cannot form a triangle."#

#hat A = pi/24, a = 6, hat B = (17pi)/24, b = 7, " To find the area of " Delta#

According to Law of Sines, #a / sin A = b / sin B#

#a / sin A = 6 / sin (pi/24) = 8.49#

#b / sin B = 7 / sin ((17pi)/24) = 8.82#

Since the given measurements do not satisfy the Sine Law, we cannot form a triangle.