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1988.9.1

Part of Kyiv City MO 1984-93 - geometry

Problems(1)

unusual distance <15 problem, each side <20 in quadr. 1988 Kyiv City MO 9.1

Source:

7/16/2021
Each side of a convex quadrilateral is less than 2020 cm. Prove that you can specify the vertex of the quadrilateral, the distance from which to any point QQ inside the quadrilateral is less than 1515 cm.
geometrygeometric inequality