A triangle has sides A, B, and C. Sides A and B have lengths of 9 and 7, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

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Answer 1 · 2017-06-21T18:11:38

The area is #=31.5u^2#

The angle between #A# and #B# is

#=pi-(5/24pi+7/24pi)#

#=pi-(12/24pi)#

#=pi-1/2pi=1/2pi#

The triangle is a right angle triangle

The area is

#A=1/2*9*7=63/2=31.5#