Answers

2015-03-10T23:41:15+05:30
I am sure you meant, in triangle ABC.
and i hope you have the figure with you.

Since AD is the median,
BD=DC,
also AD=DX is given.
So the diagonals are bisecting each other :)
Thats the property of a parallelogram!

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2015-03-11T16:17:22+05:30
In the quadrilateral ABXC
AD = DX   (given)
BD = DC (As AD is median and D is the midpoint of BC)

diagonals BC and AX are bisecting each other.

Therefore, ABXC is a parallelogram.
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