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)a n d(6,5)` respectively.

Explanation

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

### Step 1: Calculate the lengths of sides \( AB \) and \( AC \)

Using the distance formula:
\[ AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
...