Impossible area!

Level pending

In \(\triangle ABC\) which is acute, we have \(AD\) , \(BE\) and \(CF\) to be the altiudes from the vertices \(A,B,C\) to the opposite sides. If, \(DE=5\) , \(EF=3\) and \(FD=4\) cm respectively, then what is the area of \(\triangle ABC\) ?

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