A triangle has sides A, B, and C. Sides A and B have lengths of 12 and 14, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (3pi)/8#. What is the area of the triangle?

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Answer 1 · 2017-07-01T09:15:06

The area of the triangle is #=21.74u^2#

The angle between #A# and #B# is

#=pi-(13/24pi+3/8pi)#

#=pi-22/24pi=2/24pi=1/12pi#

The area of the triangle is

#=1/2AB sin(1/12pi)#

#=1/2*12*14*sin(1/12pi)#

#=21.74#