A day at the beach

Geometry Level 4

At the Cartesian beach, the ice cream cart is at \((2,2),\) the grill is at \((8,3),\) and the beverages are sold at \((4,1).\) Where should I sit to minimize the sum of the distances to these three locations?

If the answer is \((x,y)\), submit it as \(x+y\).


Inspiration.

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