Olympiad Geometry Problem #112: 1000 Subscriber Special - A True Russian Beauty!

I never thought I would get here, but we have reached 1000 subscribers! Thank you all for your dedication and making this channel great. To celebrate, I decided to show a beautiful problem from the 2013 All Russian Math Olympiad. It has a simple statement, but is quite a rich configuration. There are a lot of different solutions on the AoPS forum, but mine was most similar to one by Anant Mudgal, the proposer of IMO 2019 #6 from India and a viewer of my channel. Enjoy! Links below. AoPS Link: https://artofproblemsolving.com/commu... Power Ratio Lemma: https://www.awesomemath.org/wp-pdf-fi...