Mid Point Massacre?

Geometry Level 4

In triangle \(\triangle ABC\), \(D\) is an altitude on \(BC\) and length of \(BC\) is 24. \(E\), \(F\) and \(G\) are the midpoints of \(BD\), \(AC\) and \(BC \) respectively.If the area of triangle \(\triangle FGC\) is \(30\), what is the length of \(EF\)?

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