Question

FE EC
In the given Fig., DE ||AC and DF || AE. Prove that
BF BE
A
D
C
B
F
E​

Answer 1

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.

Step-by-step explanation:

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