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.....the side of the square = [ product of leg lengths ] / [ sum of the leg lengths ] =
[6 * 6 ] / [ 6 + 6 ] = 36 / 12 = 3
I can show you how I got this if you want me to.......
+285 
