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You have proved it for n = 3, but you haven't for n >= 4, which the problem also requires.
by hugodutka 6y ago
You have proved it for n = 3, but you haven't for n >= 4, which the problem also requires.
- kosievdmerwe 6y agoYeah, an alternate phrasing could be "For all integers n >= 3, show that there exists a set of n points in the plane such that the distance between any two points is irrational and each set of three points determines a non-degenerate triangle with rational area." For only having to find a specific n the phrasing would be something like "Find an integer n >= 3, such that ..." But in general a good heuristic is that if your solution is really simple odds are you've misunderstood the problem. IMO problems aren't easy. Even the "easy" ones take a bit of work.