Let a = BC, b = CA, c = AB be side lengths of a triangle ABC. And m be the length of the median through A. If a = 8, b-c = 2, m = 6, then the nearest integer to b is

Options

A. 7
B. 8
C. 9
D. 10

Explanation

To solve the problem, we will use the given information about the triangle ABC and the formula for the length of the median.

### Step-by-Step Solution

1. **Identify the given values**:
- \( a = BC = 8 \)
- \( b - c = 2 \) (which means \( b = c + 2 \))
- \( m = 6 \) (length of the median from A)
...