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The question asks to find \( AB \) given that \( AC = 10 \) and \( BC = 4 \).

From the diagram:
- \( A \), \( B \), and \( C \) are collinear points.
- \( AC = AB + BC \).

Using this relationship, we can solve for \( AB \) as follows:
\[
AC = AB + BC
\]
\[
10 = AB + 4
\]
Subtract 4 from both sides:
\[
AB = 10 - 4
\]
\[
AB = 6
\]

Thus, \( AB = 6 \).

Would you like more details or have any questions?

Here are 5 related questions to think about:
1. What is the distance formula used to find the distance between two points in a plane?
2. How do you calculate the midpoint of a line segment?
3. What is the relationship between angles and sides in a triangle?
4. Can you determine the length of any segment if you are given the total and one part of it?
5. How does this concept apply in 3D geometry?

**Tip:** Remember that in geometry, understanding how parts relate to the whole can simplify many problems.

Learn how to find the length of segment AB when AC = 10 and BC = 4. This problem covers key geometry concepts, including the Segment Addition Postulate, suitable for students in Grades 7-9.

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