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!"