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Math Help - Pigeonhole principle.

  1. #1
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    Pigeonhole principle.

    Consider 2n+1 real numbers greater than 1 and less than 2n. Prove that we can always
    find 3 numbers among them that are the sides of a triangle.

    Inside a unit cube,30 points are given prove that among them there are 2 points at a distance no greater than 1/(squareroot)2
    Last edited by mr fantastic; October 9th 2010 at 03:09 PM. Reason: Edited title.
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