Question 7
D and E are points on sides AB and AC respectively of ABC such that ar (DBC) = ar (EBC). Prove that DE BC.
Given: ABC
where D and E are points on sides AB and AC
such that ar (DBC) = ar (EBC)
To prove: DE BC
Proof :
DBC and EBC
are lying on a common base BC and have equal areas,
& they lie between the lines DE and BC.
So, DE BC
Hence proved
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
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