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7. D and E are points on sides AB and AC respectively of Li ABC such that ar(DBCJ = ar(EBC). Prove that DE II BC.

7. D and E are points on sides AB and AC respectively of Li ABC such that ar(DBCJ = ar(EBC). Prove that DE II BC.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
6 months ago
Construction: Draw DL and EM perpendicular to BC. Proof: ar(DBC) = ar(EBC) [Given] I 21 x B x DL = 21 x BC x EM B L M C DL = EM AB distance between two given lines BC and DE is same at different points. .. DE ll BC.

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