A triangle has sides A, B, and C. Sides A and B have lengths of 4 and 7, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (7pi)/24#. What is the area of the triangle?

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Answer 1 · 2018-07-13T14:59:44

#A=14#

We compute the third angle:

#pi-(5pi)/24-(7pi)/24=pi-(12pi)/24=1/2*pi#

thus our trianlge is right angled and the area is given by

#A=1/2*4*7=2*7=14#