[Guest]

The first problem:

I have a triangle and I have a quadrilateral as well, now I state that if I cut out these I will get two perfectly identical objects.

Now I state that my triangle has two right angles as well.

Is this possible?

NOTE: Assume that I make a flawless cut

Please use spoiler!

Edited April 10, 2010 by rookie1ja
poll removed

[Guest]

Thanks for the edit rookieja. Can I have poll whitout the solved sign? (I would like to see the opinion of the members)

I don't dare to click the Click here to e-mail me button to send you a mail, it usually start 45 Internet Explorer windows and kill my pc...

Edited April 10, 2010 by det

[superprismatic]

Yes, it is possible to have a triangle with two (or even three) right angles. Triangles on the surface of a sphere can have this property!

[Guest]

Yes, it is possible to have a triangle with two (or even three) right angles. Triangles on the surface of a sphere can have this property!

Yes, you are right, now solve the other part too; it's an answer only for the second condition.

May I ask where did you learned about noneuclid geometry, and what do you know about it? Is this a part of a high school education in your country?

Edited April 10, 2010 by det

[superprismatic]

Yes, you are right, now solve the other part too; it's an answer only for the second condition.

May I ask where did you learned about noneuclid geometry, and what do you know about it? Is this a part of a high school education in your country?

It was part of a High School education before an emphasis on analysis pushed it out in favor of calculus. I don't remember much of it, but I did study non-standard geometry and analysis mostly as an exercise in logic.