Question -
Answer -
┬а is given with AD as the median extended to point X such that┬а
┬а.┬а
Join BX and CX.
We get a quadrilateral ABXC, we need to prove that itтАЩs a parallelogram.
We know that AD is the median.
By definition of median we get:
┬а
Also, it is given that
┬а
Thus, the diagonals of the quadrilateral ABCX bisect each other.
Therefore, quadrilateral ABXC is a parallelogram.
Hence proved.