Question

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

Answer 1

⠀⠀ıllıllı uoᴉʇnloS ıllıllı

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Given that:

• In triangle ABC, DE // AC.

By Basic Proportionality Theorem,

BD/DA = BE/EC……….(i)

Also, given that DF // AE.

Again by Basic Proportionality Theorem,

BD/DA = BF/FE……….(ii)

From (i) and (ii),

➠ BE/EC = BF/FE

Hence proved.......

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Answer 2

Step-by-step explanation:

In a triangle ABC is DE//AC

By basic proportional theoram

BD/DA=BE/AC............(i)

Also given thatDF/ AE

Again by basic proportional theoram

BD/DA=BF/FE..............(ii)

From(i) and (i)

BE/EC=BF/FE

Hence proved