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 Posted: Tue Feb 27, 2007 2:00 pm
MYSTERIOUS TRIANGLE AREA
The second triangle is formed by rearranging pieces used to create the first. Yet there is a strange gap in the second triangle. Has area vanished? Is the conservation of matter bogus? Explain this madness.
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Posted: Wed Feb 28, 2007 7:16 am
the red triangle is exactly smaller then the blue triangle. therefore it can be used as the same angle for the top peak but finishes 3 squares shorter. The blue taingle may be able to make up for the distance lost but not the 1 square of height loss.
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Posted: Fri Mar 02, 2007 6:28 pm
You are probably being confused by the hypotenuse of the blue and the green piece. It seems like that they together form a straight line. But that is not true, because when you move one box to the right, the hypotenuse of the blue piece will go up 3/8 = 0.375 box, while the green piece will go up 2/5 = 0.4 box. So the hypothenuse of the green piece is actually somewhat steeper than the hypothenuse of the blue piece. That causes the hypothenuse of the left figure to be somewhat bend inside, while the hypothenuse of the right figure is a little bit bend outside. That explains the difference of one box.
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Posted: Sun Mar 04, 2007 10:57 am
Ermmmm........ correct but a bit long winded
((YET CORRECT ANY WAY))
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