A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 8, respectively. The angle between A and C is #(11pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

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Answer 1 · 2016-03-28T05:41:14

Area of triangle is #19.799#

As angle between A and C is #11pi/24# and the angle between B and C is #7pi/24#, angle between A and B is

#pi-(11pi)/24-(7pi)/24=(6pi)/24=pi/4#

Area of triangle is given by #1/2ab sinC# and hence it is

#1/2xx7xx8xxsin(pi/4)=28/sqrt2=19.799#