Pythagorean Theorem. Ah… the theorem we are all very familiar with. I mean, who doesn’t know about this good boi? Hahaha! You forgot…maybe, but you were intoduced to this atleast once in your life. Our high school mathematics wouldn’t have been complete without this. However, I will not present in this post another proof of this boi since as what I have found out, there are already 367 proofs published by National Council of Teachers in Mathematics (NCTM) in 1968. And note, that was in 1968! It’s already 2019!
See more I’ll do Pythagorean theorem, i’ll even do area of a circle, but the equation of a straight line, that’s where i draw the line shirt
There could be thousands of proofs by now! They also generalized it to space of higher dimensions! Whoah! How cool is that!? But, in this post, i’ll be talking about the one in two dimensions only. Yep… Flat Euclidean Plane it is. But if you think you know everything about this theorem, think again(^^, The image in this post shows how it is actually generalizable to any regular polygon or any closed figure using the side of the right triangle. As long as the three figures are similar, the theorem holds!
The first one is three equilateral triangle, then square, then pentagon and so on…and even circular sectors and semicircles! Whoah! And it doesn’t really matter if you take only half of the side, or one-third of it, or one-fourth and so on… as long as you do it to all of the sides! It will hold. Btw, the second example, the square, is I think the most famous one. I’ll do Pythagorean theorem, i’ll even do area of a circle, but the equation of a straight line, that’s where i draw the line shirt. And one last thing, what’s best about theorem is that, once proven, it is true whether you believe it or not.