Points $X$, $Y$, and $Z$ are on the sides $\overline{QR}$, $\overline{PR}$, and $\overline{PQ}$, respectively, of right triangle $PQR$ such that $PZXY$ is a square. If $PQ = 6$ and $PR = 6$, then what is the side length of the square?
Without explanation , side of square =
[ product of leg lengths ] [ sum of leg lengths ] =
[ 6 * 6 ] / [ 6 + 6 ] =
36 / 12 =
3
+269 
