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Hi,


I am trying to solve the following problem:
Show that 9^2 + 2^2 = 7^2 + 6^2 by cutting a 9x9 dimensioned square into four sections which together with a 2x2 dimensioned square, can be rearranged to form a 7x7 dimensioned square and a 6x6 dimensioned square!

 

Amusez-vous!

 

Attq

 Apr 1, 2022
 #1
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I don't know how to show pictures or use pictures, but 81 + 4 = 49 + 36. You can rearange this on paper, Idk on how to do it online. Sorry bud

 Apr 1, 2022
 #2
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I expect you do not know how to do it on paper either.

Melody  Apr 1, 2022
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If you new how to do it you would have already posted a pic.

Not just made slide, inane remarks to others.

Melody  Apr 2, 2022
 #3
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This is the bes I have managed so far but there is way too many pieces.

 

I divided the 9X9 into 5 peices and the 2x2 into 2 peices.

 

 

 

Or I could have divided the 9x9 into 6 pieces and left the 2x2 alone.   like this

 

 Apr 1, 2022
 #4
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Here is another way but i still had to cut the big one into 6 peices.

 

 Apr 1, 2022
 #7
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Thanks for your responses, melody. I like the division of the 9x9 dimensioned one into 5 pieces. 

 

An additional constraint that is implied is that the small square cannot be divided. It *should* be possible to solve, dividing the 9x9 dimensioned square into exactly four sections!

 

Does anyone have any ideas? (Note that you do NOT need to dissect using lines parallel to the axes. You may very well use diagonals and slanted lines to form triangles, trapezoids, parallelograms, and more!)

 

Much obliged,

 

Attq

Guest Apr 9, 2022

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