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

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If we were to pick 10 different points on a plane in such a [#permalink] New post 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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 [#permalink] New post 22 May 2005, 19:20
strange question but I tried just for fun :-D
I found 10*root3
I imagine a plan and I put multiple equilateral triangles.... I don't know if it's the best way.... :roll:
The area of 1 triangle is root3, so 10 triangles is 10root3 :wink:

sorry for the drawing because I did it quite fast with Paint and the triangles don't look so equilateral :-D :-D :-D
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  [#permalink] 22 May 2005, 19:20
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