Answer:
The segment GT is a median of triangle GFH
Explanation:
we know that
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
The angle bisector of a triangle is a line segment that bisects one of the vertex angles of a triangle.
In this problem
SH represent a line segment that bisects the vertex angle H of triangle GFH, so represent an angle bisector.
GT represent a median of triangle GFH, because the point T is the midpoint of segment FH (FT=TH)
therefore
The segment GT is a median of triangle GFH