To solve $AB + BC = AC$, it seems you are referring to a scenario where three points $A$, $B$, and $C$ lie on a straight line. In this case:

• $AB$ is the distance between point $A$ and point $B$,
• $BC$ is the distance between point $B$ and point $C$,
• $AC$ is the total distance between point $A$ and point $C$.

If $A$, $B$, and $C$ are collinear (on the same line), the total distance from $A$ to $C$ is the sum of the distances $AB$ and $BC$, which gives: $AB + BC = AC$ Thus, no further steps are needed unless there's a more specific condition to consider (such as when points $A$, $B$, and $C$ are not collinear).

Would you like to provide specific coordinates or values for $AB$ and $BC$ to calculate this, or ask any clarifications?

Related Questions:

1. What if the points $A$, $B$, and $C$ are not on a straight line?
2. How do you calculate distances in coordinate geometry?
3. Can the triangle inequality theorem affect this result?
4. How do you find distances between points in three-dimensional space?
5. How do you calculate distances using the Pythagorean theorem?

Tip:

Always ensure that the points are collinear when using the relation $AB + BC = AC$. Otherwise, the sum might be larger than $AC$.