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# If we were to pick 10 different points on a plane in such a

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Director
Joined: 18 Apr 2005
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Location: Canuckland
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If we were to pick 10 different points on a plane in such a [#permalink]  22 May 2005, 17:09
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If we were to pick 10 different points on a plane in such a way that the distance between as many of them as possible equaled 2, what is the maximum area covered if we connect some of the points with straight lines?
VP
Joined: 13 Jun 2004
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Location: London, UK
Schools: Tuck'08
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strange question but I tried just for fun
I found 10*root3
I imagine a plan and I put multiple equilateral triangles.... I don't know if it's the best way....
The area of 1 triangle is root3, so 10 triangles is 10root3

sorry for the drawing because I did it quite fast with Paint and the triangles don't look so equilateral
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