2021 WSMO Team Round Problems/Problem 9
Problem
In triangle 
points 
and 
trisect side 
such that is closer to 
than 
If 
and ![$[AEB]=6,$](http://latex.artofproblemsolving.com/5/3/8/538b540e39aafda97d34c00f44ba6781ff043237.png)
then find ![$[ABC],$](http://latex.artofproblemsolving.com/c/c/b/ccbc7d181a37c7a074400d438c0bd53f646f57b9.png)
where ![$[ABC]$](http://latex.artofproblemsolving.com/d/3/3/d33cc80fa8f093e155c5be46d2e5d9da3d7e1ef5.png)
is the area of 
.
Proposed by pinkpig
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