Iran MO 1997
- Thamim Zahin
- Posts:98
- Joined:Wed Aug 03, 2016 5:42 pm
In triangle $ABC$, angles $B,C$ are acute. Point $D$ is on the side $BC$ such that $AD\perp{BC}$. Let the interior bisectors of $\angle B,\angle C$ meet $AD$ at $E,F$, respectively. If $BE=CF$, prove that $ABC$ is isosceles.
I think we judge talent wrong. What do we see as talent? I think I have made the same mistake myself. We judge talent by the trophies on their showcases, the flamboyance the supremacy. We don't see things like determination, courage, discipline, temperament.
Re: Iran MO 1997
A trigonometric solution:
"Questions we can't answer are far better than answers we can't question"
Re: Iran MO 1997
Synthetic and easier proofs of claim 1 and claim 2:
"Questions we can't answer are far better than answers we can't question"