# 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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