Raising the flag

Geometry Level 3

Figure above shows two right triangles \(DAB\) and \(ABC\) with right angles at \(A\) and \(B\) respectively. With \(E\) is the point of intersection between the straight lines \(BD\) and \(AC\). If we drop a straight line from \(E\) that is perpendicular to the base \(AB\) and intersect at \(AB\) at point \(F\), find the distance \(EF\) in \(\text{cm} \).

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