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In the adjoining figure D, E and F are t...

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB respectively of `Delta ABC`. Prove that:
(i) `square BDEF` is a parallelogram
(ii) area of `Delta DEF = (1)/(4) xx " area of " Delta ABC`
(iii) area of `square BDEF = (1)/(2) xx " area of " Delta ABC`

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