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D and E are points on sides AB and AC r...

D and E are points on sides AB and AC respectively of `DeltaA B C`such that`a r\ (D B C)\ =\ a r\ (E B C)`. Prove that `D E\ ||\ B C`.

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If two triangles are on a common base and have equal areas, then they will lie between the same parallel lines.
Let's draw the given triangle ABC.
Given that `ar (DBC) = ar (EBC)`
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