Question

in abc, d and e are points on ab and ac respectively. such that ar (bcd) =are (bce). prove that de||bc

Answer 1

Since ar(bcd)=ar(bce)
The two triangles are between two lines De and BC
And triangles BCD and bce are in same base BC so their heights are equal
Now by therom if triangles lying on same base,between lines and with equal areas then the lines are parallel

Answer 2

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