A triangle has sides A, B, and C. Sides A and B have lengths of 8 and 11, respectively. The angle between A and C is #(19pi)/24# and the angle between B and C is # (pi)/24#. What is the area of the triangle?

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Answer 1 · 2016-02-20T14:58:51

22

#pi - pi/24 - {19pi}/24 = pi/6#

The area of the triangle is given by the formula

#1/2 xx A xx B xx sin theta#

Therefore, the area of the above triangle is

#1/2 xx 8 xx 11 xx sin(pi/6) = 22#