Without using Pythagoras theorem, show that the points `A(2,1)`, `B(5,4)` and `C(3,6)` are the vertices of a right-angled triangle.

Explanation

To show that the points \( A(2,1) \), \( B(5,4) \), and \( C(3,6) \) are the vertices of a right-angled triangle without using the Pythagorean theorem, we will use the concept of slopes. If two sides of a triangle are perpendicular, then the triangle is a right-angled triangle.

### Step-by-Step Solution:

1. **Identify the Points:**
- Let \( A(2, 1) \), \( B(5, 4) \), and \( C(3, 6) \).

2. **Calculate the Slope of Line AB:**
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