2017 European Girls Math Olympiad Problem 6

Geometry problem uses:
1. properties of the orthocenter
2. simson line
3. Euler line
4. reflections
5. angle chasing and cyclic quadrilaterals
6. concurrence

[@yoyokojo651]

I love your videos! They are really instructive. Also if at some point you get the chance a video series about Olympiad geometry (or a different field) I.e the relevant theorems and their proofs would be awesome!!

[@deepjoydas3315]

Well I clicked the like button as usual..👍 but somewhere in the problem I was confused.. Yet when I rewatched it , it was pretty clear.. I liked this problem too.. Also don't mind, but you should work on your explanation.. 😅 sometime you are very fast, and sometimes you are a bit confused.. that makes me confuse too and I have to go back and rewatch the video.. It's just a type of feedback..

[@chrisk9902]

Diophantine equation: 2018^x=100^y+1918^z for x,y,z non negative integers.I believe you will find it rather easy to solve but give it a go if you want :)

[@manpurwarganesh2627]

I love ur videos 😍

[@igml1145]

I still dont see why the simson line was useful 😂😅. I believe the anti steiner point was enough

[@deepjoydas3315]

Which book would you suggest for Number Theory?😊 I need it for INMO..

[@mukulgupta4008]

Number Theory David Burton?

[@deepjoydas3315]

@@mukulgupta4008 from where I can get it? Is it available online as pdf

[@mukulgupta4008]

@@deepjoydas3315 Yes u can search the book name directly on google to download its pdf

[@deepjoydas3315]

@@mukulgupta4008 thanks

[@Miguel-xd7xp]

@@mukulgupta4008 and for algebra which would you recommend?

[@jaikishangautam7662]

Which are the theorems used in this problem

[@jonathasdavid9902]

I will play trick on you in 3 2 1 Read more