Let the point inside a regular pentagon \(ABCDE\) where the lines segments \(AD\) and \(CE\) intersect be \(F\).
###### Created by Michael Fuller. Popular geometry problems: "Star Stumper", "Not your average shuriken"

If the pentagon has side length \(50\), find the *floor* of the length of \(BF\) (the \(\color{red}{\text{red}}\) line).

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