In Figure, the incircle of A B C touche...

In Figure, the incircle of ` A B C` touches the sides `B C ,\ C A` and `A B\ a t\ D ,\ E` and `F` respectively. Show that `A F+B D+C E=A E+B F+C D=1/2(P e r i m e t e r\ of\ A B C)`.

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