In the image, the line segment $FG$ is divided into two parts by point $H$. The total length of $FG$ is the sum of the lengths of $FH$ and $HG$. From the diagram:

• $FG = 42$ units,
• $HG = 22$ units.

To find $FH$, we subtract $HG$ from $FG$:

$FH = FG - HG = 42 - 22 = 20 \text{ units}.$

So, $FH = 20$ units.

Would you like more details or have any questions? Here are some related questions to expand your understanding:

1. How would you find $HG$ if $FH$ and $FG$ were given?
2. What type of geometric concept is being used to divide the line into two segments?
3. How can this approach be applied to real-world distance problems?
4. What if $H$ divided the segment in a specific ratio—how would you calculate the lengths of the segments?
5. How can we use algebra to solve similar problems with unknown segment lengths?

Tip: Always double-check your subtraction to avoid simple errors when dealing with line segment problems.