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

2021 WSMO Team Round/Problem 9

Revision as of 13:00, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== In triangle <math>ABC,</math> points <math>D</math> and <math>E</math> trisect side <math>BC</math> such that <math>D</math> is closer to <math>C</math> than <math...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

In triangle $ABC,$ points $D$ and $E$ trisect side $BC$ such that $D$ is closer to $C$ than $E.$ If $\angle{CAD}=\angle{EAD},ED=3,$ and $[AEB]=6,$ then find $[ABC],$ where $[ABC]$ is the area of $ABC$.

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2021_WSMO_Team_Round/Problem_9&oldid=207288"