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The diagram of a rectabgle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respective;y and angle DXY = 90 degrees....

The diagram of a rectabgle ABCD and a triangle DXY so that X and Y are points on the line segments AB and BC respective;y and angle DXY = 90 degrees. If all the line segments in the diagram have integer lenghts, then we call it a sophie diagram.
Show that DA/XB = AX/BY = XD/YX

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