Find the direction cosines of the sides of the triangle whose vertices are `(3, 5, 4)`, `( 1, 1, 2)`and `( 5, 5, 2)`.

Explanation

To find the direction cosines of the sides of the triangle with vertices \( A(3, 5, 4) \), \( B(1, 1, 2) \), and \( C(5, 5, 2) \), we will follow these steps:

### Step 1: Find the direction ratios of the sides of the triangle.

1. **Direction ratios of side AC**:
\[ \text{Direction ratios} = (x_C - x_A, y_C - y_A, z_C - z_A) = (5 - 3, 5 - 5, 2 - 4) = (2, 0, -2) \]
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