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
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