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ermines
04-29-2003, 06:58 PM
could someone answer this question....
NetGirl
04-29-2003, 09:17 PM
Scratches head in confusement:confused2 ...i got no idea...but if somebody can figure it out...pls post the answer!
NetGirl
04-30-2003, 01:55 AM
u think so?....looks the same to me
ZelRiptha
04-30-2003, 04:07 PM
It is an illusion.

It appears we're attempting to construct a right triangle with sides of length 5 and 13 (thus a hypotenuse of ~13.93). The area of such a triangle would be 32.5. Notice the total area of the pieces used to "construct" the "triangle" are 5+7+8+12=32. (In reality, neither of the constructions is a true triangle, since the slopes of the adjacent hypotenuses are not equal [5/2 != 8/3].) Thus, the apparent "hypotenuse" of the resulting shape is not a straight line. In fact, in so much as it deviates from straightness along the course of its path, it manages to encompass an extra 0.5 unit of area in the upper configuration. Here's a slightly exaggerated picture of what I'm describing:

Any questions? :)

We addressed a similar seemingly inexplicable problem here (http://board.midibuddy.net/showthread.php?s=&threadid=6240).
ZelRiptha
04-30-2003, 04:16 PM
Ah, and another (http://board.midibuddy.net/showthread.php?s=&threadid=8287). :)

Fun stuff.
ermines
05-01-2003, 09:50 PM
so my answer was correct at the first place...
and ZR, i was really intending to post the pizza problem after this, too bad sopmeone had posted it before...
ermines
05-01-2003, 10:05 PM
how about this one...

http://board.midibuddy.net/showthread.php?s=&threadid=44873