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

2022 SSMO Relay Round 3 Problems/Problem 2

Revision as of 13:11, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>T=</math> TNYWR. In cyclic quadrilateral <math>ABCD,</math> <math>\angle{BAD}=60^{\circ},</math> and <math>BC=CD=T.</math> If <math>AB</math> is a positi...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $T=$ TNYWR. In cyclic quadrilateral $ABCD,$ $\angle{BAD}=60^{\circ},$ and $BC=CD=T.$ If $AB$ is a positive integer, find twice the median of all (not necessarily distinct) possible values of $AB$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2022_SSMO_Relay_Round_3_Problems/Problem_2&oldid=207331"