Question

In $\Delta ABC$, AD is the median and DE is parallel to BA, where E is a point in AC. Hence, BE is also a median.
State whether the above statement is true or false.

Answer 1

Given: AD is median. $DE\parallel BA$

In $△ABC$,

$D$ is midpoint of AB and $DE\parallel BA$,

Thus, by converse of mid point theorem, E is the mid point of AC.

Hence, $BE$ is the median of $△ABC$ on $AC$