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D, E, F are the midpoints of the sides B...

D, E, F are the midpoints of the sides BC, CA and AB respectively of `triangle`ABC. Prove that
(i) BDEF is a ||gm,
(ii) `ar(triangleDEF)=(1)/(4) ar(triangleABC) and`
(iii) `ar("||gm BDEF") = (1)/(2)ar(triangleABC)`

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