(Q11) In △ABC , DE||BC and
AD
DB
=
3
5
AC = 5.6 . Find AE .

ABCDE

In △ABC , DE||BC

AD
DB
=
AE
EC
but
AD
DB
=
3
5
so
AE
EC
=
3
5

Given AC = and AE:EC = 3:5

AE
AC - AE
=
3
5
AE
- AE
=
3
5

5AE = (3×5.6) - 3AE

8AE =

AE =
= cm