In the given figure DEllAC and DFllAE prove that BF divided by FE equal to BE divided by EC
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Given- In Triangle ABC ,DE ll AC and DF ll AE.
To Prove - BF/FE= BE/EC
Proof - In Triangle ABC,
Using BASIC PROPORTIONALITY THEOREM,
DE ll AC (given) (eqn. 1)
BD/DA = BE/EC
In Triangle ABE,
DFll AE
Using the BASIC PROPORTIONALITY THEOREM,we have
BD/DA= BF/FE (equation 2)
From Equations 1 and 2, we get
BF/FE=BD/DA= BE/EC
= BF/FE = BE/EC
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