## To make {(x-y),(y-z),(x-z),(x+y-z), (x+z-y), (y+z-x)}

Find three positive integers   $x, \; y, \; z$   such that

$x \; - \; y$,
$y \; - \; z$,
$x \; - \; z$,
$x \; + \; y \; - \; z$,
$x \; + \; z \; - \; y$,
$y \; + \; z \; - \; x$

are all squares