Art of Problem Solving

AoPS Online

2024 USAJMO Problems/Problem 1

Revision as of 21:36, 19 March 2024 by Ryanjwang (talk | contribs) (Created page with "__TOC__ == Problem == 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 l...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Contents

1 Problem

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.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2024_USAJMO_Problems/Problem_1&oldid=217138"

© 2025 AoPS Incorporated