<font color="aqua">Can you explain this:

http://pages.infinit.net/luvian/TRIANGLE.gif

</font>

Er...someone's taken a bite out of that oddly coloured (and shaped) pie :D [img]tongue.gif[/img]

<font color="#00ccff">I have seen this before, I believe the explanation was that the slope of the red piece was not constant or some such, as in it had a slight bend. I don't really remember exactly though.</font>

But both triangle are exactly the same size, angle and all...

<font color="#00ccff">The red and green triangles are not the same size at all check your measurements.</font>

<font color="#00ccff">The slope of the Hypotenuse of the red triangle is different than that of the green, this causes the displacement when they are swapped.</font>

MagiK's right. If you take the hypotenuses of the two macro-triangles, and place them on the same diagonal you'll find that they create a disk-shaped form. This is where the "lost" area went to.

<font color="#00ccff">I hate it when I have to be all scientific [img]tongue.gif[/img]
Im the Jack O'Neile of IW [img]smile.gif[/img] </font>

Why complicate it with calculating the hypothenuses? Just check the base and height. They´re not matching. The height ratio is 1:1,5 and the base 1:1,8. There´s a methematical term for triangles that have matching ratios, but that term isn´t in my vocabulary ;) :D

<font color="#00ccff">Equilateral?

No thats matching angles....but all their sides have the same slope [img]smile.gif[/img] </font>