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Difference between revisions of "2024 USAJMO Problems"

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== Day 1 ==
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=== Problem 1 ===
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Let <math>ABCD</math> be a cyclic quadrilateral with <math>AB=7</math> and <math>CD=8</math>. Points <math>P</math> and <math>Q</math> are selected on line segment <math>AB</math> so that <math>AP=BQ=3</math>. Points <math>R</math> and <math>S</math> are selected on line segment <math>CD</math> so that <math>CR=DS=2</math>. Prove that <math>PQRS</math> is a quadrilateral

Revision as of 21:21, 19 March 2024

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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