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标题: Another geometry puzzle [打印本页]

作者: geometryfan 时间: 2005-4-10 20:56
标题: Another geometry puzzle

A point P is located inside an equilateral triangle with integer side k, such that its distances to the 3 vertices are integers a,b,c. What is the smallest possible value of a? Of k?

作者: 乱弹 时间: 2005-4-14 22:47
标题: 这个WXC有解，但不太完整。这里有人做吗？

这个WXC有解，但不太完整。这里有人做吗？

作者: fzy 时间: 2005-4-14 23:52
标题: 回复：这个WXC有解，但不太完整。这里有人做吗？

It looks like a boring problem. At WXC people only tried to search for solutions. Did you try it?

作者: 乱弹 时间: 2005-4-15 01:55
标题: 回复：回复：这个WXC有解，但不太完整。这里有人做吗？

I did not really try it. I think it needs some boring analysis in number theory. At WXC people have found the minimal K, and guessed A.

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