Given the problem:

• B is the midpoint of AC.
• AB = 5.

Since B is the midpoint of AC, the segments AB and BC are equal. Therefore:

$BC = AB = 5$

Step 1: Find BC

Since $BC = AB$:

$BC = 5$

Step 2: Find AC

Since B is the midpoint of AC, the length of AC is the sum of AB and BC:

$AC = AB + BC$

Substituting the known values:

$AC = 5 + 5 = 10$

Final Answer:

• $BC = 5$
• $AC = 10$

Would you like further details or have any questions?

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Here are 8 related questions you might find interesting:

1. How do you find the midpoint of a line segment when given two endpoints?
2. If $B$ is the midpoint of $AC$ and $AB = 3x + 1$, what is the length of $BC$?
3. How does the midpoint formula apply to coordinate geometry?
4. What is the relationship between the lengths of segments when B is not the midpoint?
5. How do you solve for AC if only the length of one segment (AB or BC) is given?
6. What changes if AC is divided into a ratio other than 1:1?
7. How can you prove that B is the midpoint of AC using a ruler and compass?
8. What are the real-life applications of midpoint concepts in geometry?

Tip: Always remember that when a point is the midpoint of a segment, it divides the segment into two equal parts.