Question

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




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Answer 1

Given:

Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.In triangle ABC, DE is parallel to AC

Therefore,

By Basic proportionality theorem

   ......(1)

In triangle BAE, DF is parallel to AE

Therefore,By Basic proportionality theorem

  ...... (2)

From (1) and (2), we get

Hence, Proved.

Answer 2

Answer:

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