Question
In figure, AD is median of triangle ABC, E is the mid-point of AD and F is the mid-point of AE.
Prove that 
Solution
Given: AD is median of triangle ABC. E is the mid-point of AD and F is the mid-point of AE.
Proof :
AD is a median of 
Proof :
AD is a median of V A median of a triangle divides it into two triangles of equal areas
∵ E is the mid-point of AD
∴ BE is a median of ΔABD
∴ ar(ΔBED) = ar(ΔBEA) = 1/2 ar(ΔABD)
∵ A median of a triangle divides it into two triangles of equal areas
∵ F is the mid-point of AE ∴ BF is a median of ΔABE
[ 
A median of a triangle divides it into two triangles of equal areas]
