A drone is tested at three points \(A(1,2)\), \(B(4,2)\), and \(C(1,9)\). Engineers want to verify if the path forms a right-angled triangle for optimal navigation. The longest side will act as the drone’s main route, and a charging station will be placed at the midpoint of this side.
Using coordinate geometry concepts, answer the following questions.
1. Does \(ABC\) form a right-angled triangle?
2. Which side is the hypotenuse?
3. The length of the longest side is
4. The coordinates of the charging point are