# Triangle mother

Geometry Level 3

Triangle $$ABC$$ lies in the cartesian plane and has an area of 70. The coordinates of $$B$$ and $$C$$ are $$(12,19)$$ and $$(23,20)$$, respectively, and the coordinates of $$A$$ are $$(p,q)$$. The line containing the median to side $$BC$$ has slope $$-5$$. Find the largest possible value of $$p+q$$.

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