Forum

In the figure, DE||...
 
Notifications
Clear all

[Solved] In the figure, DE||AC and DF||AE. Prove that BF/FE = BE/EC

1 Posts
2 Users
1 Likes
221 Views
0
Topic starter

In the figure, DE||AC and DF||AE. Prove that BF/FE = BE/EC

1 Answer
1

In ΔABC, given as, DE || AC

Thus, by using Basic Proportionality Theorem, we get,

∴BD/DA = BE/EC ………………(i)

In  ΔABC, given as, DF || AE

Thus, by using Basic Proportionality Theorem, we get,

∴BD/DA = BF/FE ………………(ii)

From equation (i) and (ii), we get

BE/EC = BF/FE

Hence, proved.

Share:

How Can We Help?