In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
The theorem can be written as an equation relating the lengths of the sides $a$, $b$, and $c$, often called the Pythagorean equation: $$a^2 + b^2 = c^2$$
Can I prove Pythagoras' Theorem by the following way?
Actually, my question is: does it violate any rules of mathematics, or is it alright? Sorry, it may not be a valid question for this site. But I want to know. Thanks.