Find the equation of the internal bisector of `angle B A C` of the `triangle A B C` whose vertices `A ,` `B,` `C` are`(5,2),` `(2,3)` and `(6,5)` respectively.

Explanation

To find the equation of the internal bisector of angle \( BAC \) in triangle \( ABC \) with vertices \( A(5, 2) \), \( B(2, 3) \), and \( C(6, 5) \), we will follow these steps:

### Step 1: Determine the equations of lines \( AB \) and \( AC \)

**Finding the equation of line \( AC \)**:
- Points \( A(5, 2) \) and \( C(6, 5) \)
- Using the formula for the equation of a line given two points:
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