D, E, F are the midpoints of the sides BC, CA and AB respectively of `triangle`ABC. Prove that  `
Channel: Doubtnut
Date: 2020-01-03

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)`