Can you cut the squares of a right triangle with one cut (cutting all three pieces at the same time) so that it’s possible to arrange them and prove Pythagoras’ theorem?
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Thank you Blue for the title edit! – lukejanicke Nov 08 '18 at 12:14
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Can we cut? yes
will it prove Pythagoras Theorem? no
Just take a 3-fold paper (or 3 papers stacked together), and cut out a square ($3$ squares!) from all papers at once.
Arrange them (squares) on $3$ sides of your Right triangle.
All $3$ are of same size?
Is it possible to have a Right triangle with all sides equal?
(so that their corresponding squares are cut equal?)
Forget about proving Pythagoras Theorem!
Is there any other way to cut all $3$ squares together?
pooja somani
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@coffeemath sure, but how to i make and upload a diagram? please suggest an appropriate platform. – pooja somani Nov 08 '18 at 09:12
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it is like we do in origami: make a handkerchief fold and cut out 4 similar circles out of it. Here we take 3 sheets of paper,one above other, and cut out squares from all of them at once. – pooja somani Nov 08 '18 at 09:20
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Omega-- Personally I've not made any diagram here, so can't advise how. – coffeemath Nov 08 '18 at 09:57