The importance of proofs
[S2 Maths: Pythagoras' Theorem]
Hey, it's been a while. So, you have probably heard about Pythagoras' Theorem, and what it is: namely, that a^2 + b^2 = c^2.
Would you happen to know why that is, however?
Take a bit of time to ponder over the next few words: Do you think this is the only proof that exists for the Pythagoras' Theorem?
Well, not really.
The best part about a mathematical expression is that a proof is just one method of manipulating the logic to arrive at an answer.
There's tons of ways to arrive at an answer, and sometimes the results might even surprise you. Experiment freely!