Using the side-splitter theorem, which segment length would complete the proportion?
GH ?
----- = ------
HE JF

we know that
The Side-Splitter Theorem: States that If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally
so
in this problem
[tex]\frac{GH}{HE} =\frac{GJ}{JF}[/tex]
therefore
the answer is
The segment length is GJ