A triangle has sides A, B, and C. Sides A and B have lengths of 2 and 4, 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 · 2016-01-06T18:31:28

#2sqrt2#

Sides a, b are given and the angle between these two would be #2pi -( (13pi)/24 + (5pi)/24)# = #(5pi)/4#

Area would be # 1/2 ab sin((5pi)/4)#= # 1/2 (2)(4)(sqrt2) /2#= #2sqrt2#