Question

D and e are points on side a b and ac respectively of triangle ABC such that area of DBC is equal to area of EBC prove that d e parallel BC

Answer 1

Answer:

Step-by-step explanation:

Given, area of tri.DBC=area of tri.ECB

=Area of tri. DBC -area of tri. OBC=

area of tri.ECB - area of tri. OBC

= area of tri.DOB =area of tri. EOC

NOW ,

=area of tri. DOB+area of tri.DOE =

area of tri.EOC +area of tri. DOE

=area of tri.DBE =area of tri.ECD

BY CONVERSE OF MID POINT THEOREM

DE IS PARALLEL TO BC

Answer 2

Answer:

∆ DBC and ∆ EBC are on the same base BC and also having equal areas.

therefore ,they will lie between the same parallel lines.

therefore ,

DE||BC

Step-by-step explanation:

mark BRAINALIST