+0  
 
0
13
1
avatar+1220 

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 $PQ = 1$ and $PR = 1$, then what is the side length of the square?

 Apr 6, 2024
 #1
avatar+129840 
+1

Side length of the square  =   [ product of the legs  / [ sum of the legs ] =  (1*1) / ( 1 + 1)  = 1/2

 

cool cool cool

 Apr 7, 2024

0 Online Users