Yes, they could.
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Yes they do. We find this by applying the pythagorean theorum. Since 9^2 + 12^2 = 15^2, they form a right triangle.
The coordinates are the vertices of a triangle since they form three points.
Yes because they comply with Pythagoras' theorem.
It could be 12 because the sum of the 2 smaller sides of a triangle must be bigger than its largest side.
What is 12 in ? And what is 16 in ? ? Are they the lengths of two sides of the triangle ? Are they the length of one side and the height of the triangle ? The area of any triangle is 1/2 of the product of (length of its base) x (its height).