In Fig. 15.90, D and E are two points on BC such that BD=DE=EC. Show that ar(Δ ABD) = ar(Δ ADE) =ar(Δ AEC)

Draw a line through A parallel to BC

Given that,


BD = BE = EC


We observed that the triangles ABD and AEC are on the same base and between the same parallels l and BC


Therefore, their areas are equal


Hence,


Area () = Area () = Area ()


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