In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, Show that ar(BDE)=12ar(BAE)

In the following figure, ABC and BDE are two equilateral triangles suc

1.	In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, Show that ar(BDE)=12ar(BAE)
Answer» In the following figure, ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE intersects BC at F, Show that $a r (B D E) = \frac{1}{2} a r (B A E)$