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Points X, Y, and Z are on the sides QR , PR, and PQ respectively, of right triangle PQR  such that PZXY is a square. If PQ=12 and PR=8, then what is the side length of the square?

 

 Jul 3, 2021
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Using similar triangles, and the fact that RY:XZ:RP = 3:4:7, the side length of the square is 32/7.

 Jul 3, 2021

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