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CZ-SK-MO 2000 Problem 5

    Monika made a paper model of a tetrahedron whose base is a right-angled triangle. When she cut the model along the legs of the base and the median of a lateral face corresponding to one of the legs, she obtained a square of side a. Compute the volume of the tetrahedron.

    Dataset text AI-MO AoPS. Quoted with source.

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