Question 5 (i)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)=14ar(ABC)

Question 5 (i)In the following figure, ABC and BDE are two equilateral

1.	Question 5 (i)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)=14ar(ABC)
Answer» Question 5 (i) 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 $a r (B D E) = \frac{1}{4} a r (A B C)$