there are specifically how many pythagorean theorems developed up until now?

Answer 1

There is only one pythogerous theorem

Answer 2

In a way, there are countably infinite many.

Let's say you have a point at (a,b) in the 2-diminsional plane, and you want to find the square of the distance to the origin (call this c^2). It is given by the pythagorean theorem equation:
a^2+b^2=c^2.

Now, let's say you want to do the same thing in 3-diminsional space with the point (a,b,c). Then d^2=a^2+b^2+c^2.

And in 4-D, we have e^2=a^2+b^2+c^2+d^2

This can be continued for ever. So there are infinitely many cases.

Something else that may be interesting:

Lets say we want to find the distance between the point a and 0 on the number line. The 1-D pythagorean theorem give b^2=a^2. Since distance will always be given by a positive number, we can take the square root of both sides. Therefore we have b=√(a^2)=|a|. Which is the known distance formula in 1-D.

To find all the distances above, you can just take the square root, and remember that the right hand side is a distance and therefore positive.

Answer 3

1

Answer 4

The only Pythagorean Theorem was developed by Pythagoras(582-507B.C)

Answer 5

Just the one major one of a^2 + b^2 = c^2... Though the Pythagoreans were a mystical mathematical society who studied all kinds math, so I'm sure they discovered more than that!

Answer 6

Just the one. By Pythagorus

a^2 + b^2 = c^2

Answer 7

1 but there are other formulas that can do the same thing.