Doing Euler with my ruler!

by shiningsunnyday, Jul 5, 2016, 1:18 PM

2004 APMO P2 wrote:
Let $O$ be the circumcenter and $H$ the orthocenter of an acute triangle $ABC$. Prove that the area of one of the triangles $AOH$, $BOH$ and $COH$ is equal to the sum of the areas of the other two.
Solution
Tidbit
Tidbit 2
This post has been edited 6 times. Last edited by shiningsunnyday, Jul 5, 2016, 2:40 PM

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Bary bashing :)

(Actually, circumcenter and orthocenter are the two most annoying centers to bary bash except if you're good at trig)

Yea I should learn bary soon...
This post has been edited 1 time. Last edited by shiningsunnyday, Jul 6, 2016, 1:41 AM

by MathAwesome123, Jul 5, 2016, 5:34 PM

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You got a $2$ on your APUSH exam?!?!

Yes
This post has been edited 1 time. Last edited by shiningsunnyday, Jul 6, 2016, 1:42 AM

by zephyrcrush78, Jul 5, 2016, 8:21 PM

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Wait you have apush in china?

I go to an American school in China, same system as American students.
This post has been edited 1 time. Last edited by shiningsunnyday, Jul 8, 2016, 3:43 PM

by Temp456, Jul 8, 2016, 2:01 PM

To share with readers my favorite problem I came across today :) (Shout for contrib.)

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