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If ABC is a triangle with AB, BC measuring $$p$$ and $$q$$ units respectively, find the maximum area possible for triangle ABC.
Correct Answer: 0
PLACEHOLDER ANSWER - the answer is an expression in $$p$$ and $$q$$. The area is $$\frac{1}{2}pq \sin B$$, and $$\sin B \le 1$$ with equality when $$\angle B = 90^\circ$$. So the maximum area is $$\frac{pq}{2}$$.
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