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.

.

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