A square has sides of length . is the midpoint of and is the foot of the perpendicular from to .
What is the length of ?
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\frac{x}{2}
\frac{x}{3}
\frac{x}{\sqrt{2}}
\frac{x}{2\sqrt{2}}
\frac{x}{4}
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Senior Mathematical Challenge 2009 (2009)
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