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February 18th, 2012, 09:26 PM   #1
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pls help to solve these problems...

[attachment=0:ce89fk31]trapezoid01.JPG[/attachment:ce89fk31]
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 trapezoid01.JPG (66.7 KB, 426 views)

February 18th, 2012, 09:27 PM   #2
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Re: pls help to solve these problems...

and problem no. 2 please. TIA!

[attachment=0:2f2jh6oe]squares01.JPG[/attachment:2f2jh6oe]
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 squares01.JPG (59.3 KB, 426 views)

February 18th, 2012, 10:46 PM   #3
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Re: pls help to solve these problems...

Here are some very rough sketches:

1:

[attachment=1:35y2itf1]trapezoid.jpg[/attachment:35y2itf1]

The parts are similar to the original with side lengths of 1/2 the original.

2:

[attachment=0:35y2itf1]squares.jpg[/attachment:35y2itf1]

Again, the parts are similar to the original with side lengths of 1/2 the original.
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 trapezoid.jpg (8.6 KB, 429 views) squares.jpg (5.0 KB, 429 views)

 February 19th, 2012, 08:43 AM #4 Math Team   Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408 Re: pls help to solve these problems... These are fascinating shapes. A shape can be combined with its clones to make a larger (similar) model. There were named "rep-tiles" by Martin Gardner. Here is one more . . . called "The Sphinx". Code:  * / \ / \ / \ / *---*-------* / / \ / \ *---* \ *---* \ / \ / \ *-----------*-----------*

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