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?
+14915 What is the side length of the square?
Hello Guest!
The segment QR is the hypotenuse in the triangle PQR.
P is the origin of the coordinate system.
\(\color{blue}y=-x+10\\ \underline{x=y}\\ y=-y+10\\ 2y=10\\ \color{blue}y=5\\ \color{blue}x=5\\\)
The side length of the square is 5.
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