Q. Triangle $A BC$ lies in the Cartesian plane and has an area of $70 s q$ . units. 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 the side $BC$ has slope -5 . Find the largest possible value of $(p + q)$ .

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Answer: 47

Q. Triangle ABC lies in the Cartesian plane and has an area of 70sq. units. 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 the side BC has slope -5 . Find the largest possible value of (p+q).