Write a JAVA program that, for four points A, B, C and P, which a) Draws a triangle formed by ABC and a small cross showing the position of P b) Displays a line of text indicating which of the following three cases applies: P lies Inside ABC Outside ABC On an edge of ABC. The user will specify the four points by clicking.

The same as part above, but, instead of displaying a line of text, the program computes the distances of P to the (infinite) lines AB, BC and CA, and draws the shortest possible line that connects P with the nearest of those three lines.

The points can be specified by clicking.

The program should be able to run on jGrasp