Question

1) If AB||CDXEF then find x & AE.
​

Answer 1

Step-by-step explanation:

In ΔABF,DX∣∣AB

DB

FD

=

XA

FX

...(1)(By Basic proportionality theorem)

In ΔAEF,XC∣∣FE

XA

FX

=

CA

EC

...(2)(By Basic proportionality theorem)

From (1)and (2), we get

DB

FD

=

CA

EC

⇒

8

4

=

12

x

⇒x=6

Now, AE = AC + CE

= 12 + 6

= 18