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Wanda is trying to locate the Fermat point  P of △ABC , where  A is at the origin,  B is at (8, -1), and  C is at (5,4) (the Fermat point is the point such that the sum of its distances from the vertices of a triangle is minimized). She guesses that the point is at P=(4,2) , and computes the sum of the distances from P  to the vertices of △ABC. If she obtains m+n√5, where m and n are integers, what is m+n?

 Jun 29, 2020

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