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Question

If D and E are points on side AB and AC respectively of triangle ABC such that ar(ΔDBC)=ar(ΔEBC), then prove that DEBC

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Solution

If Area (DBC)= Area (EBC)
then
12|BC||DF|=12|BC||EG|
|DF|=|EG|
Also EGBC & DFBC
then
D & E are equidistant from BC
and DEBC because line joining equidistant point from a line is to that line


1375101_1160780_ans_5a9464e90efb4ec4b2bbd18b4eb590d8.png

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