Y by Mathcollege, Adventure10, donotoven, GeckoProd, Mango247, cubres
Let
be a triangle for which there exists an interior point
such that
. Let the lines
and
meet the sides
and
at
and
respectively. Prove that ![\[ AB+AC\geq4DE. \]](//latex.artofproblemsolving.com/3/a/4/3a49c5f8bd2930adca7bde2601dd045d4bf05ff6.png)









![\[ AB+AC\geq4DE. \]](http://latex.artofproblemsolving.com/3/a/4/3a49c5f8bd2930adca7bde2601dd045d4bf05ff6.png)
This post has been edited 2 times. Last edited by orl, Sep 27, 2005, 4:41 PM