A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 6, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

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Answer 1 · 2016-10-21T18:27:45

#Area = 36units^2#

Given:
side #a = 12#
side #b = 6#
#/_B = (7pi)/24#
#/_A = 5pi/24#

Because A and B sum to #pi/2#, #/_C = pi/2# and this is a right triangle with sides a and b as the base and height.

#Area = 1/2 (12)(6)#

#Area = 36 units^2#