I suppose it would be either really difficult or impossible to skip delving into the area of the triangle(s) because the Pythagorean theory, in nature, deals with the squares of the side lengths.
Ah, I meant it was nice that there are "still" mathematical things that can blow my mind. Even if those things are related to relatively uncomplicated maths, like the Pythagorean Theorem. :)
It's only called a theorem once it's been proven. If it wasn't it would have probably been called the pythagorean conjecture, or the pythagorean hypothesis.
All these proofs of the relationship of length of the sides of a triangle involve going the next dimension (the Area) to prove the lower dimension (the length) relationship. Why is this so? Can you show a proof of the relationship without going to Area argument? Is there a proof? I
Wow. Nice to see there are still things like proofs of the Pythagorean Theorem that can blow my mind.
Your videos sooth me when I am stressed
6:24 "well you see" *pun unintended
Very interesting video great stuff can you do some math videos on differential equations please it would help out a lot!!!
check out the proof using the properties of similar triangles. that one doesn't use area
I suppose it would be either really difficult or impossible to skip delving into the area of the triangle(s) because the Pythagorean theory, in nature, deals with the squares of the side lengths.
Ah, I meant it was nice that there are "still" mathematical things that can blow my mind. Even if those things are related to relatively uncomplicated maths, like the Pythagorean Theorem. :)
I believe there is some.
As I can, we can prove this formula using vectorial scalar product with jumping to the next dimension as you wanted.
It's only called a theorem once it's been proven. If it wasn't it would have probably been called the pythagorean conjecture, or the pythagorean hypothesis.
Given that there are at least 300 distinct proofs of the pythagorean theorem you might be at this for a while.
What does this tell us in terms of the lengths?
Who invented this proof - I am doing a project, and need the name please :)
"Cleaning up geometric constructions!" FEATURING: Sal Khan. ;)
All these proofs of the relationship of length of the sides of a triangle involve going the next dimension (the Area) to prove the lower dimension (the length) relationship. Why is this so? Can you show a proof of the relationship without going to Area argument? Is there a proof?
I
keep the faith Sal, we are still working towards your goal. Just give us some time!!!
This mindblew my mind, Jesus Sal
Or pluripotent stems cells and regenerative medicine... What's your long term view?
In fact, maybe for your own interest you should do a study on SYMBIOSIS?
anyone know the name of this proof? plz comment
(grahams number)th
what trickery is this?
wow
Second
clap clap clap O_O