8. In the adjoining figure, AD is a median of tri.ABC and
DE || BA. Show that BE is also a median of tri.ABC.
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Consider △ABC
It is given that DE∥AB
We know that D is the midpoint of BC
Based on the midpoint theorem we know that E is the midpoint of AC
So we know that BE is the median of △ABC drawn through B
Therefore, it is proved that BE is also a median of △ABC.
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