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Question -

D and E are points onsides AB and AC respectively of ╬ФABC such that

ar(DBC) = ar (EBC). Prove that DE || BC.



Answer -

Since ╬ФBCE and ╬ФBCD arelying on a common base BC and also have equal areas, ╬ФBCE and ╬ФBCD will liebetween the same parallel lines.

тИ┤ DE || BC

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