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 $BC$.