Q : 5 In Fig., ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, show that
(iii)
[Hint : Join EC and AD. Show that and , etc.]
We already proved that,
ar(ABC) = 4.ar(BDE) (in part 1)
and, ar(BEC) = 2. ar(BDE) (in part ii )
ar( ABC) = 2. ar(BEC)
Hence proved.