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3 Answers

A median of a triangle connects a vertex (e.g. A) to the midpoint of the opposite side (e.g. BC).
We can see that point D is a midpoint of BC because the two segments (BD and CD) are congruent. Hence AD is the only marked median.
BF is the side of an angle bisector, but isn’t a median. And CE is an altitude of the triangle (intersecting the opposite side at a right angle), but again is not a median.
Answer:
AD is the median.
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A median of a triangle connects a vertex (e.g. A) to the midpoint of the opposite side (e.g. BC).
We can see that point D is a midpoint of BC because the two segments (BD and CD) are congruent. Hence AD is the only marked median.
BF is the side of an angle bisector, but isn’t a median. And CE is an altitude of the triangle (intersecting the opposite side at a right angle), but again is not a median.
Answer:
AD is the median.

AD is one median of the triangle ABC.
Reason:
BD = DC (as marked)
So D is the mid point of BC.
Hence AD is a median.
EDIT:
From my experience and inputs from many other members, it is easily inferred that the solution presented here by ‘anjali’ is 100% copied one of the solution provided by Puzzling. Unfortunately this system is unable to differentiate between original and plagiarized one, rated this copied one as Relevance. Everyone including the question setter may kindly be aware of this. Puzzlilng may kindly consider of reporting this action of ‘anjali.