A triangle has sides A, B, and C. Sides A and B have lengths of 11 and 7, respectively. The angle between A and C is #(7pi)/24# and the angle between B and C is # (13pi)/24#. What is the area of the triangle?

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Answer 1 · 2018-04-03T02:19:33

#77/4 units^2#

#7pi/24+13pi/24+angle BCA=pi# (angle sum of triangle)

#angle BCA=pi/6#

Area of triangle ABC
= #1/2times11times7 times sin (pi/6)# (#Area=1/2atimesbtimessinc#)
=#77/4 units^2#