D,E,F are midpoints of BC,CA,,AB of triangle ABC.Show that BDEF is a parallelogram.

Asked by  | 29th Oct, 2009, 08:58: PM

Expert Answer:

Since D and E are the mid points of the side of the triangle BC and CA.

By converse of Basic Proportionality Theorem,

DE || AB.

Similarly FE II BC and DF || AC.

⇒ BDEF is a parallelogram.

 

Answered by  | 4th Nov, 2009, 03:59: PM

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