Kyiv Olympiad, 1978

Here is a problem from the 1978 Kyiv Olympiad for 7 graders.

Is it possible to place seven points on a plane so that among any three of them, two will be at distance 1 from each other?


One Comment

  1. Zarunias:

    Let ABCD be a parallelogram with AB=BC=CD=DA=BD=1
    And let AEFG be another parallelogram with AE=EF=FG=GA=EG=1
    Now position both parallelograms in such a way that CF=1 and you are done.

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