Consider a non-isosceles acute triangle ABC such that $AB^2+AC^2 = 2BC^2$. Let
$H$ and $O$ be the orthocenter and the circumcenter of $\triangle ABC$, respectively.
Let $M$ be the midpoint of $BC$ and let $D$ be the intersection of $MH$ with the
circumcircle of $\triangle ABC$ such that $H$ lies between $M$ and $D$. Prove that
$AD,BC$ and the Euler line of $\triangle ABC$ are concurrent.
4000th post
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Tahmid Hasan
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- Location:Khulna,Bangladesh.
বড় ভালবাসি তোমায়,মা
Re: 4000th post
Congrats for the $4000^{th}$ post... BDMO forum go ahead!!!
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: 4000th post
Today this forum is 6 months old! Can we make $10,000$ posts in a year?
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
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leonardo shawon
- Posts:169
- Joined:Sat Jan 01, 2011 4:59 pm
- Location:Dhaka
Re: 4000th post
Congrts*Mahi* wrote:Congrats for the $4000^{th}$ post... BDMO forum go ahead!!!
Ibtehaz Shawon
BRAC University.
long way to go .....
BRAC University.
long way to go .....