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Question

In ΔABC, 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.

Solution
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Given: AD is median. DEBA

In ABC,

D is midpoint of AB and DEBA,

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

Hence, BE is the median of ABC on AC

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