**In a triangle ABC, E is the mid-point of median AD. Show that .**

**Solution:**

It is given that AD is the median of .

**(Median of a triangle divides it into two triangles of equal areas.)**

**(1)**

It is also given that E is the mid-point of AD. Therefore, BE is the median of .

**(Median of a triangle divides it into two triangles of equal areas.)**

** (2)**

** **

Putting **(1)** in equation **(2)**, we get