Question 16
As shown in the diagram on the left, a $3\times3$ grid is created on a wall by using nine nails, with the distance between any two adjacent nails, whether horizontally or vertically, equal to 10 cm. A rubber band is then used to connect three non-collinear points on the grid to form a triangle. The diagram on the right shows one example of a triangle formed in this manner.
How many different possible value(s) can the area of the resulting triangle take on?
How many different possible value(s) can the area of the resulting triangle take on?