A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 3, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (3pi)/8#. What is the area of the triangle?

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Answer 1 · 2016-07-20T04:34:13

#2.9squnit#

Given

#A,B,C " are three sides of a triangle"#

#A=2 and B =3#

#"Angle between A & C"=((5pi)/24)#

#"Angle between B & C"=((3pi)/8)#

#"Let Angle between A & B"=theta#
#=pi-(3pi)/8-(5pi)/24=((24-9-5)pi)/24=(5pi)/12#

#"Area of triangle"=1/2*A*B*sintheta#

#=1/2*2*3*sin((5pi)/12)=2.9squnit#