If `A(2,2),B(-4,-4)a n dC(5,-8)` are the vertices of a triangle, then the lengthof the median through vertex `C` is.

Explanation

To find the length of the median through vertex C of triangle ABC with vertices A(2, 2), B(-4, -4), and C(5, -8), we will follow these steps:

### Step 1: Find the midpoint of side AB
The midpoint \( P \) of segment \( AB \) can be calculated using the midpoint formula:
\[ P = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \]
where \( A(2, 2) \) and \( B(-4, -4) \).
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