Question

4. In the adjacent figure, AD is a median and DE || BA.
Prove that BE is a median.
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Answer 1

Answer:

Since AD is the median of ΔABC, then BD = DC.

Given, DE || AB and DE is drawn from the mid point of BC i.e.D, then by converse of mid-point theorem,

it bisects the third side which in this case is AC at E.

Therefore, E is the mid point of AC.

Hence, BE is the median of ΔABC.

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Answer 2

Answer:

in the adjacent figure, AD is a median and DE ll

BA.

proven that BE is a median.

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