Two towers, BC and ED, are lengths 1 and 10 respectively.
The line CD connects BC and ED such that Angle BCD = Angle EDC = 90º.
There is a point F, on the line CD, such that Angle BFE is also 90º.
The shortest possible length of CD can be expressed as √m, where m is a positive integer. Find m.
Note: The diagram below shown is not drawn to scale.
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