In the image provided, we need to find the length of segment $FH$.

The points $F$, $H$, and $G$ are collinear. The total length of segment $FG$ is 37 units, and the length of segment $HG$ is given as 13 units.

To find $FH$, we can subtract the length of segment $HG$ from the total length of segment $FG$:

$FH = FG - HG$

Substitute the known values:

$FH = 37 - 13 = 24$

Thus, the length of segment $FH$ is 24 units.

Would you like further details or have any questions?

Here are 5 related questions to explore further:

1. How can you verify the length of a segment using different methods?
2. If the line segments were on a coordinate plane, how would you calculate their lengths?
3. How does the concept of collinearity affect the calculation of segment lengths?
4. What would happen if an angle between the segments was given? Would that affect the calculation?
5. How can the properties of midpoints help in problems like this?

Tip: Always verify whether a diagram represents segments that are collinear or non-collinear, as this impacts how distances are calculated.