Question

Which segment is a median of PTK

Answer 1

Answer: PG

Step-by-step explanation:

A median is a line that drawn from one vertex of a triangle that bisects one side of the triangle.

By the given diagram,

Line segments PN and GT can not be the median of triangle PTK.

Because they do not bisect any of the side of triangle PTK

Also,  line segment KN is a angle bisector where $N\in PT$

And,  PN is equal to NT is not given.

Therefore ,  we also can not say that PN is a median of triangle PTK

But,  PG is a line segment that drawn from vertex P of triangle PTK.

And it is bisecting side KT,  

That is,  KG=GT=19

Thus,  PG is the median  of triangle PTK.