# Which point?

Geometry Level 3

A point $$P$$ is located in triangle $$ABC.$$ Let $$X, Y, Z$$ be the feet of the perpendiculars dropped from $$P$$ to sides $$BC, CA, AB,$$ respectively. If $$PX + PY + PZ = 2017,$$ find the minimum possible value of $$PA + PB + PC.$$

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