Find the lengths of the medians of the triangle with vertices `A (0, 0, 6)`, B `(0, 4, 0)`and `(6, 0, 0)`.

Explanation

To find the lengths of the medians of the triangle with vertices A(0, 0, 6), B(0, 4, 0), and C(6, 0, 0), we will follow these steps:

### Step 1: Find the Midpoint of Each Side
1. **Find the midpoint D of side BC**:
\[ D = \left( \frac{x_B + x_C}{2}, \frac{y_B + y_C}{2}, \frac{z_B + z_C}{2} \right) \]
Substituting the coordinates of B and C:
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