If B is the midpoint of AC and AB = 5 

Find BC and AC. 

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.

Learn how to find the lengths of BC and AC when B is the midpoint of AC and AB = 5. This problem involves basic geometric concepts such as midpoints and segment lengths. Suitable for students in Grades 6-8.

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