Art of Problem Solving
Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2024 USAJMO Problems: Difference between revisions

Newer edit →
Mathkiddie (talk | contribs)
editor
162 edits
Created blank page
 
Ryanjwang (talk | contribs)
editor
403 edits
No edit summary
Line 1: Line 1:
 
__TOC__
== Day 1 ==
=== Problem 1 ===
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 20:21, 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

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=2024_USAJMO_Problems&oldid=217123"