if DE||BC and DF||BE then show that AC.FE=AE.EC
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In AABC
DE||AC
Line drawn parallel to one side of triangle, insects the other two sides. It divides the other
side in same ratio.
BE BD
EC DA
In ΔΑΕΒ
DF || AE
Line drawn parallel to one side of triangle, intersects the other sides. It divides the other sides in same ratio.
BF FE BD DA =
_(ii)
From (i) & (ii)
BE
BF
EC
FE
:. Hence proved.
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