Re: Pythagorean Theorem is Wrong



Rod Reynolds wrote:
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...

Yes, that is a much more direct counter-argument.

.



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. ... But you are trying to provide a proof 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)

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