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Dirichlet sends his regards (Posted on 2017-05-12) Difficulty: 3 of 5
Five points are located in an equilateral triangle with 10-inch sides (or on its perimeter).

What’s the maximum distance between the two closest points?

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Some Thoughts A guess | Comment 1 of 4
With 6 points, one can place 3 on the vertices and three on the side bisectors, and the two closest points are 5 inches apart.

I don't off-hand see a way to improve on this with only 5 points, so I am going to guess that the answer is 5 inches.

  Posted by Steve Herman on 2017-05-12 09:35:59
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