SOLUTION: Wanda is trying to locate the Fermat point P of triangle ABC, where A is at the origin, B is at (10,0), and C is at (3,5) (the Fermat point is the point such that the sum of its di
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-> SOLUTION: Wanda is trying to locate the Fermat point P of triangle ABC, where A is at the origin, B is at (10,0), and C is at (3,5) (the Fermat point is the point such that the sum of its di
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Question 1068663: Wanda is trying to locate the Fermat point P of triangle ABC, where A is at the origin, B is at (10,0), and C is at (3,5) (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 triangle ABC. If she obtains , where m and n are integers, what is m + n?
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So then,
Now solve for m and n.
And then add them to get the final answer.
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By the way, the actual minimum occurs at (, ).
