Without using the Pythagoras theorem, show that the points `(4, 4)`, `(3, 5)`and `(1, 1)`are the vertices of a right angled triangle.

Explanation

To show that the points \( (4, 4) \), \( (3, 5) \), and \( (1, 1) \) are the vertices of a right-angled triangle without using the Pythagorean theorem, we can use the concept of slopes. If two lines are perpendicular, then the product of their slopes is \(-1\).

### Step-by-Step Solution:

1. **Identify the Points**:
Let the points be:
- \( A(4, 4) \)
- \( B(3, 5) \)
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