In a triangle AC median AD is produced to X such that AD=DX . prove that ADXC is a parallelogram
Mathexpert:
It should be ABXC is a parallelogram
Answers
Answered by
6
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!
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!
Answered by
13
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.
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.
Attachments:
Similar questions