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 # (5pi)/24#. What is the area of the triangle?

1 Answer
Apr 7, 2018

#" Since "color(brown)(a / sin A != b / sin B) , color(indigo)(" we can not form a triangle with the given measurements."#

Explanation:

#hat A = (5pi)/24, a = 6, hat B = (17pi)/24, b = 7#

https://math.stackexchange.com/questions/811938/law-of-sines-and-cosines

As per the Law of Sines,

#a / sin A = b / sin B#

#a / sin A = 6 / sin ((5pi)/24) = 9.86#

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

#" Since "color(brown)(a / sin A != b / sin B) , color(indigo)(" we can not form a triangle with the given measurements."#