## Problem of the Day #114: Digits in TrianglesJuly 11, 2011

Posted by Arjun in : potd , trackback

$x$ and $y$ are positive four-digit integers whose digits can be taken from the set of positive integers less than $7$. If $z$ is the maximum possible integer side length of a triangle with sides $x$, $y$, and $z$, find the sum of all $z$ for all $x$ and $y$.