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A B C D is a parallelogram. E is a point...

`A B C D` is a parallelogram. `E` is a point on `B A` such that `B E=2\ E A\ a n d\ F` is a point on `D C` such that `D F=2\ F Cdot` Prove that `A E\ C F` is a parallelogram whose area is one third of the area of parallelogram `A B\ C Ddot`

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Given:
We have, E is a point on BA
⇒`BE = 2 EA`
And, F is a point on `DC`
...
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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