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 #(7pi)/24# and the angle between B and C is # (13pi)/24#. What is the area of the triangle?

Question

1257 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-22T13:49:00

The area of the triangle is #=1.5u^2#

The angle between #A# and #B# is

#=pi-(7/24pi+13/24pi)#

#=pi-(20/24pi)#

#=1/6pi#

The side #A# is #=2#

The side #B# is #=3#

#sin(1/6pi)=1/2#

The area of the triangle is

#A=1/2*2*3sin(1/6pi)#

#=1.5#