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

[yoyokojo]

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!!

[deepjoydas]

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..

[igml]

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

[chrisk]

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 :)

[deepjoydas]

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

[jaikishangautam]

Which are the theorems used in this problem

[jonathasdavid]

I will play trick on you in 3 2 1


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