Pythagoras's Theorem/Proof 3

Theorem
Given any right triangle $$\triangle ABC$$ with $$c$$ as the hypotenuse, we have $$ a^2+b^2=c^2$$.

Proof

 * Pythagoras3.png

The area of the big square is $$c^2$$.

It is also equal to $$4 \frac {ab} 2 + \left({a-b}\right)^2$$.

So:

$$ $$ $$