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2024 USAJMO Problems/Problem 1

Revision as of 20:36, 19 March 2024 by Ryanjwang (talk | contribs)

Problem

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.

Solution 1

See Also

2024 USAJMO (Problems • Resources)
Preceded by
First Question 		Followed by
Problem 2
1 • 2 • 3 • 4 • 5 • 6
All USAJMO Problems and Solutions

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