Re: Pythagorean Theorem is Wrong

N. Silver wrote:
Rod Reynolds wrote:


I've shown it in my blog
http://aspoonfulweighsaton.blogspot.com/


You are claiming that 10, 20, 25 are lengths
of sides of a right triangle. If this is the case,
then the Pythagorean Theorem fails for this
particular triangle. Is that right? (Pun intended.)


We can construct a 30 by 30 square as follows.
A
________20_______|___10____
|
|
10 |
|
|
|
| 20
D_|
|
|
|
|
|
|

|---
|--- B
20 |
|
|
|
| 10
|___10____|______20________|
C


Connect points on the square with line segments:
AB, BC, CD, AD.
The area of the big square is 900 square units. The
areas of each
of the right triangles is 100 square units, giving
400 square units for
the four triangles. Subtracting we get the area of
the smaller square,
inside the big square, which is 900 - 400 = 500.
Then each hypotenuse
has length = sqrt(500) which is different than 25.
Therefore, the triangle
10, 20, 25 is not a right triangle.



But you are trying to provide a proof of Pythagorus
by providing a proof
of Pythagorus. This is a circular argument,
particularly in view of the
OP's assertion that all of the proofs of Pythagorus
are wrong.




It is mind boggling how stupid some people can be. "I'm right, because of the following reasons". Well, I've already told you that I'm not going to believe your reasons. Jeez...
.

Relevant Pages

  • Re: Pythagorean Theorem is Wrong
    ... of sides of a right triangle. ... Connect points on the square with line segments: ... The area of the big square is 900 square units. ... But you are trying to provide a proof of Pythagorus by providing a proof of Pythagorus. ...
    (sci.math)
  • Re: Pythagorean Theorem is Wrong
    ... of sides of a right triangle. ... We can construct a 30 by 30 square as follows. ... OP's assertion that all of the proofs of Pythagorus ... I've already told you that I'm not going to believe your reasons. ...
    (sci.math)
  • Re: Pythagorean Theorem is Wrong
    ... Since I believe Pythagorus' theorum to be right, I believe (sorry, I ... know) that you can't draw a right angled triangle with sides of length ...
    (sci.math)
  • intelligence
    ... then a triangle, therefore is missing the square. ... D the half squares are turned around 90° against the clockwise direction, ... square and circle and indicate at the same ...
    (misc.news.internet.discuss)
  • Re: "Euclids Fourteenth Book
    ... square on the hypotenuse. ... right triangle itself. ... Given that areas of plane figures scale as the square of any ... If you add curvature the Pythagorean theorem holds ...
    (talk.origins)