$\triangle ABC$ is a triangle, such that $AB\neq AC$. The incircle of $\triangle ABC$ touches $BC,CA,AB$ at
$D,E,F$ respectively. $H$ is a point on the segment $EF$ such that $DH\perp EF$. Suppose $AH\perp BC$, prove that $H$ is the orthocentre of $\triangle ABC$.
Looking for a synthetic solution
- Thanic Nur Samin
- Posts:176
- Joined:Sun Dec 01, 2013 11:02 am
Hammer with tact.
Because destroying everything mindlessly isn't cool enough.
Because destroying everything mindlessly isn't cool enough.
Re: Looking for a synthetic solution
A synthetic solution:
Last edited by Phlembac Adib Hasan on Fri Aug 05, 2016 8:17 am, edited 1 time in total.
Reason: Fixed spacing and made minor changes to the latex code
Reason: Fixed spacing and made minor changes to the latex code
"Questions we can't answer are far better than answers we can't question"