A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is #(13pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?

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Answer 1 · 2017-06-16T06:37:36

The area is #=9.9u^2#

The angle between #A# and #B# is

#=pi-(13/24pi+5/24pi)#

#=pi-18/24pi#

#=6/24pi=1/4pi#

The area of the triangle is

#=1/2*A*B*sin(1/4pi)#

#=1/2*4*7*sqrt2/2#

#=7sqrt2#

#=9.9#