Question

A =Band DE is parallel to AB prove that AF=BE

Answer 1

Answer:

In 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.