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Olympiad Geometry

I'm struggling with this geometry problem which can be solved by barycentric coordinates. I tried this but just got an ugly algebra problem which I felt didn't lead me anywhere.

1st question of additional problems
http://mathcircle.berkeley.edu/archivedocs/2012_2013/lectures/1213lecturespdf/BMC_Adv_Oct23_2012_Barycentric.pdf
(edited 7 years ago)

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