FE EC
In the given Fig., DE ||AC and DF || AE. Prove that
BF BE
A
D
C
B
F
E
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Answer:
n ΔABC
DE∣∣AC
Line drawn parallel to one side of triangle, insects the other two sides. It divides the other side in same ratio.
EC
BE
=
DA
BD
__(i)
In ΔAEB
DF∣∣AE
Line drawn parallel to one side of triangle, intersects the other sides. It divides the other sides in same ratio.
FE
BF
=
DA
BD
__(ii)
From (i) & (ii)
EC
BE
=
FE
BF
∴ Hence proved.
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