https://file.aiquickdraw.com/mathbot/file/1727439384126c89cyfly.jpg

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.

Find FH given the line segment FG is 42 units and HG is 22 units.

Learn how to find the length of FH in a line segment when the total length FG is 42 units and segment HG is 22 units. This problem involves basic arithmetic operations suitable for Grades 5-7.

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