Question

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

Answer 1

Given: In ΔABCD, D and E are two points on BC such that BD = DE = EC

To prove:

Proof: The ΔABD, ΔADE, and ΔAEC, are on the equal bases and their heights are equal

Therefore their areas are equal

So

Hence we get the result as