A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 3, respectively. The angle between A and C is #(pi)/2# and the angle between B and C is # (pi)/8#. What is the area of the triangle?

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Answer 1 · 2017-06-21T18:39:51

The area is #=9.7u^2#

The angle between #A# and #B# is

#=pi-(pi/2+pi/8)#

#=pi-(5/8pi)#

#=3/8pi#

The area of the triangle is

#A=1/2*7*3sin(3/8pi)#

#=9.7#