Help needed urgently
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=10 and PR=10, then what is the side length of the square?
2. Theorem of rays
¯PR:x=¯PQ:(¯PQ−x)10:x=10:(10−x)10x=10⋅(10−x)10x=100−10x20x=100x=5
The side length of the square is 5.
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