Q. 34.4( 33 Votes )

# In the given figure, DE||AC and DF||AE Prove that

Answer :

Given, DE || AC and DF || AE

Need to prove

⇒ In ABC, DE || AC

⇒ now, we know line drawn parallel to one side of triangle, intersects the other two sides in distinct points, then it divides the other 2 side in same ratio.

⇒ ………eq(1)

⇒ In AEB, DF || AE

⇒ ………eq(2)

From (1) and (2)

⇒

Hence proved.

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