Pythagoras's Theorem/Proof 4

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

Proof

 * Pythagoras4.png

Dissect the square on the left (which has area $$c^2$$) as shown.

Rearrange the pieces to make the two squares on the right, with areas $$a^2$$ and $$b^2$$.

As Bhāskara II Āchārya is then reported as saying:
 * "Behold!"