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#1 2007-06-10 05:21:35

Muse99
Member
Registered: 2007-06-10
Posts: 1

Can you explain this amazing puzzle?

At last a puzzle forum!! I have been looking for some genius to give me an answer to this puzzle I seen. I just don't understand how it can be done. It is the one with the triangles - I'm sure many of you have seen it.

It is the 'amazing riddle' on the main page here:

http://www.amazed.tv

I hope someone can show me how this is done - it is driving me nuts!

Thanks.

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#2 2007-06-10 06:12:34

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Can you explain this amazing puzzle?

Direct link to puzzle

I won't tell you the answer explicitly, but I'll say that you can do the same trick with a 3x5 triangle, a 2x3 triangle, and shapes that look like this:

-------------------          --------
|                       |         |        |
|                       |         |        |
--------              |         |         --------------
         |              |         |                          |
         |              |         |                          |
         -------------          ----------------------

Hopefully those Badly Drawn Diagrams[sup]©[/sup] are good enough for you to be able to see what I mean.

That version of the trick will work in the same way, but the reason it works will be a bit more obvious.
There's an excellent page on this site somewhere about this puzzle, but I can't find it right now.


Why did the vector cross the road?
It wanted to be normal.

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#3 2007-06-10 08:00:21

amateur
Member
Registered: 2007-02-11
Posts: 5

Re: Can you explain this amazing puzzle?

http://en.wikipedia.org/wiki/Missing_square_puzzle

There is a very nice explanation! wink

dunno Sorry, I don't kow how to put direct link.


"In mathematics, you don't understand things. You just get used to them." - John von Neumann

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#4 2007-07-09 23:13:28

landof+
Member
Registered: 2007-03-24
Posts: 131

Re: Can you explain this amazing puzzle?

actually, the "triangle" is actually a quadrillateral, and the second diagram, ignoring the "missing" square, is a four sided figure, except that one of the angles looks like a straight line. the two triangles are not similar.


I shall be on leave until I say so...

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