Q4 of 109 Page 314

In the adjoining figure, is a median of and Show that is also a median of

In ∆ABC, AD is median.


∴ BD = DC


We know that the line drawn through the midpoint of one side of a triangle and parallel to another side bisects the third side.


So, in ∆ABC, D is the mid point of BC and DE || BA.


Hence, DE bisects AC.


∴ AE = EC


This means that E is the midpoint of AC.


∴ BE is median of ∆ABC.


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