In a `!ABC` if a = 7 , b = 8 and c = 9 , then the length of the line joining B to the mid-points of AC is

Options

A. 6
B. 7
C. 5
D. none of these

Explanation

To find the length of the line joining point B to the midpoint of side AC in triangle ABC where \( a = 7 \), \( b = 8 \), and \( c = 9 \), we can use a specific formula derived from the properties of triangles.

### Step-by-Step Solution:

1. **Identify the Triangle and its Sides**:
- We have triangle ABC with sides:
- \( a = 7 \) (length opposite to vertex A)
- \( b = 8 \) (length opposite to vertex B)
...