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IV.7

Part of Ukrainian TYM Qualifying - geometry

Problems(1)

PORS inscribed in ABCD with max area given sides, where PQRS has min perimeter

Source: IV All-Ukrainian Tournament of Young Mathematicians, Qualifying p7

5/19/2021
Let ABCDABCD be the quadrilateral whose area is the largest among the quadrilaterals with given sides a,b,c,da, b, c, d, and let PORSPORS be the quadrilateral inscribed in ABCDABCD with the smallest perimeter. Find this perimeter.
geometrymaxmingeometric inequalityinscribedperimeterUkrainian TYM