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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
Posts: 543

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Location: Canuckland
If we were to pick 10 different points on a plane in such a [#permalink]

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22 May 2005, 18:09
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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?

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VP
Joined: 13 Jun 2004
Posts: 1114

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Location: London, UK
Schools: Tuck'08

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22 May 2005, 19:20
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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22 May 2005, 19:20
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