SE-SKOLORNAS 1970 Problem 5
A paper rectangle is folded twice to give a square side . The square is folded along a diagonal to give a right-angled triangle. A needle is driven through an interior point of the triangle, making holes in the paper. The paper is then unfolded. Where should the point be in order to maximise the smallest distance between any two holes?
Dataset text AI-MO AoPS. Quoted with source.
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