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2024 USAJMO Problems

Revision as of 21:21, 19 March 2024 by Ryanjwang (talk | contribs)

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Day 1

Problem 1

Let $ABCD$ be a cyclic quadrilateral with $AB=7$ and $CD=8$. Points $P$ and $Q$ are selected on line segment $AB$ so that $AP=BQ=3$. Points $R$ and $S$ are selected on line segment $CD$ so that $CR=DS=2$. Prove that $PQRS$ is a quadrilateral

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