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avatar+269 

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?

 Apr 30, 2024
 #1
avatar+128772 
+1

Without explanation , side of  square =

 

[  product of leg lengths  ]    [ sum of leg lengths ] = 

 

[ 6 * 6 ] / [ 6 + 6 ] = 

 

36  /  12     =

 

3

 

cool cool cool

 Apr 30, 2024

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