MathDB

4

Part of 1983 Dutch Mathematical Olympiad

Problems(1)

equilateral triangle

Source: Netherlands 1983

6/27/2009
Within an equilateral triangle of side 15 15 are 111 111 points. Prove that it is always possible to cover three of these points by a round coin of diameter 3 \sqrt{3}, part of which may lie outside the triangle.
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