Olympiad Geometry Problem #64: IMO Shortlist 2017 G1

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Here is a very entertaining problem from the 2017 IMO Shortlist, with a very specific starting configuration. Although it was the first of the geometry problems on the shortlist, I did not find it to be that easy. Enjoy! Link below.
  1. Michael Greenberg
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Hey Michael! Thanks a lot on all those amazing geo videos! You are the one that built up my geo skills and now I am confident about solving USAMO Problems.

helo
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Hey Michael! I have always loved mathematics as a kid and have been pretty good at it, but for some reason i could never get my head around geometry. For olympiad problems, geometry became a gray, terrifying area. But ever since i found you channel, i am absolutely LOVING geometry!
I have watched half of your playlist while practicing problems.
Keep up the AMAZING work!!

❤️ Love from India Sir

gamedepths
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Oh god you are such a genius I wish I had your talant

zukazuka
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Amazing solution!, this was exactly the same as my initial approach, but I failed to see that I was the circumcenter of FHG so I couldn't finish the problem through this way and had to take the pappus' route :(

prithujsarkar