Answer:
The segment GT is a median of triangle GFH
Step-by-step explanation:
we know that
A <u><em>median</em></u> of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
The <u><em>angle bisector</em></u> 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