olymmath

IMO 1976 Problem 1

  • Day 1

In a convex quadrilateral (in the plane) with the area of 32 cm232 \text{ cm}^{2} the sum of two opposite sides and a diagonal is 16 cm16 \text{ cm} . Determine all the possible values that the other diagonal can have.

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1976 official English paper, page 1.

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