So I chose to research the Pythagorean Theorem. It's pretty neat because it never changes. There are a LOT of variables in mathematics, so it's nice to have a thing that just IS. The theorem states that in a right triangle, a^2 + b^2 = c^2. C is the hypotenuse and a and b represent the two other legs.
For example: a=5, b=4, c=? Find c. So we find that 5^2= 25 and 4^2= 16. 25+16=41. the sq. root of 41= 6.4.
This works out perfectly because the hypotenuse (or the c side) is always going to be the longest side.
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There was a guy named Euclid. He wrote a proof and published it in this mega-book of proofs. He made the proof before they started to use variables and it's a huge mess that takes forever and doesn't even really make sense. Anyways, he was the first guy to sit down and actually prove that all the theories (at that time) about math work.
Another theorem about right triangles is that each side is also able to make a similar shape to the other two. Lots'o math needed, but the pictures look cool.
For example: a=5, b=4, c=? Find c. So we find that 5^2= 25 and 4^2= 16. 25+16=41. the sq. root of 41= 6.4.
This works out perfectly because the hypotenuse (or the c side) is always going to be the longest side.
------------------------------------------------------------
There was a guy named Euclid. He wrote a proof and published it in this mega-book of proofs. He made the proof before they started to use variables and it's a huge mess that takes forever and doesn't even really make sense. Anyways, he was the first guy to sit down and actually prove that all the theories (at that time) about math work.
Another theorem about right triangles is that each side is also able to make a similar shape to the other two. Lots'o math needed, but the pictures look cool.