WailofSuicide wrote:You can pretty easily see they're not the same if you look at point (5,2), using the leftmost corner of each triangle at (0,0). The lower triangle meets or exceeds (5,2) in the Y axis, and the upper triangle does not even reach (5,2) in the Y axis. The area difference along the hypotenuse is subtle but clear if you do a point by point comparison.
I have been considering whether I should make up an example using UnrealEd or 3DStudioMax to graphically illustrate where all the area difference actually is.
Yes, an easy visual test is to hold a piece of paper (or other straight edge) along the hypotenuses of each triangle. You can see that they are not straight.
If you do that Wail, you could do a grid to grid comparison and determine the difference between each "squares" occupied area...Is this what you do in YOUR copious spare time?