In the given image, the line segment $FG$ is divided into two parts at point $H$. The length of segment $HG = 15$ units and the total length of segment $FG = 22$ units.

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

$FH = FG - HG$

Substituting the known values:

$FH = 22 - 15 = 7$

Thus, the length of $FH$ is $7$ units.

Would you like any further details or have any questions?

Here are 5 related questions to expand on this topic:

1. What is the total length of segment $FG$?
2. How would you calculate $HG$ if only $FH$ and $FG$ were given?
3. What are the properties of line segments in geometry?
4. How does this type of segment division apply to the midpoint concept?
5. Can we apply this same approach if the line was divided into unequal parts?

Tip: When subtracting to find unknown segments, always double-check the measurements to ensure accuracy!