Given segment AC where point B lands between AC.  Find the length of BC if AC=10 and AB=2.

Given that point \( B \) lies between points \( A \) and \( C \) on segment \( AC \), and we know the lengths of \( AC \) and \( AB \), we can find the length of \( BC \) using the following relationship:

\[
AC = AB + BC
\]

We are given:
- \( AC = 10 \)
- \( AB = 2 \)

Now, substitute these values into the equation:

\[
10 = 2 + BC
\]

To find \( BC \), subtract 2 from both sides:

\[
BC = 10 - 2 = 8
\]

So, the length of \( BC \) is \( 8 \) units.

Would you like more details on this? Also, here are 5 related questions you might find interesting:

1. What would be the length of \( BC \) if \( AC = 15 \) and \( AB = 5 \)?
2. If \( AB = x \) and \( AC = x + 7 \), what is \( BC \) in terms of \( x \)?
3. What is the length of \( AC \) if \( AB = 3 \) and \( BC = 12 \)?
4. How does the position of \( B \) change the lengths of \( AB \) and \( BC \)?
5. If \( B \) is the midpoint of \( AC \), what are the lengths of \( AB \) and \( BC \) when \( AC = 20 \)?

**Tip:** Always remember that for any points \( A \), \( B \), and \( C \) on a line segment where \( B \) is between \( A \) and \( C \), the length of \( AC \) is the sum of the lengths of \( AB \) and \( BC \).

Learn how to find the length of segment BC between points A and C using the Segment Addition Postulate. Given that point B lies between points A and C on segment AC, and knowing the lengths of AC and AB, find the length of BC step-by-step. Suitable for high school students.

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