Geometry Tutorial #6 -Lengths and Ratios (Practice)

#IMO​ #Geometry #MathOlympiad​ In this video we we apply the technique of law of sines, Ratio lemma, Ceva's theorem, Menelaus's theorem, Centroid division, and homothety on various Olympiad Geometry Problems including problems from different Math Olympiads (EGMO, IMO shortlist, APMO, BMO). 00:00 Intro 0:57 Ex1: EGMO 2012/7 23:55 Ex2: Shortlist 2000/G3 39:45 Ex3: APMO 2004/2 49:13 Ex4: BMO 2015/2 59:46 Summary Thanks to Arc for desigining the thumbnail. Inequalities playlist: https://youtube.com/playlist?list=PL1qInO9wTp3mgEn4_X2niePNxrX26OJBl&si=ELV8IYRYz5cyq0sG IMO Past Problems: https://youtube.com/playlist?list=PL1qInO9wTp3kBq7mFRtDauNbuQnddGd6H Functional Equations playlist: https://youtube.com/playlist?list=PL1qInO9wTp3lh0uGN9W6JufoBk7g0BDCL Geometry playlist: https://youtube.com/playlist?list=PL1qInO9wTp3lG6O06huPmQjR1kpeLDI76&si=DBuTjkYVTqTaMLIM Shorts: https://youtube.com/playlist?list=PL1qInO9wTp3m388GGbyWbw85LZRhn3dQw __________________________________________________________________________________________ I upload videos concerning math Olympiad contests to help students preparing for math Olympiad and all people who share the love for some interesting math problems. Don't forget to subscribe to the channel! __________________________________________________________________________________________ Email me your thoughts! ([email protected]) Discord server: https://discord.gg/RcP9eX9yg2 Donate: https://www.paypal.com/paypalme/hommeida?locale.x=en_US