Proving Pythagoras

The Pythagorean (or Pythagoras') Theorem is the statement that the sum of (the areas of) the two small squares equals (the area of) the big one.

In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.

The theorem is of fundamental importance in Euclidean Geometry where it serves as a basis for the definition of distance between two points.

There are at least 96 seperate proof of Pythagoras (cut-the-knot).

Here is another proof from Vi Hart (see links opposite).

Why not get a piece of paper and give it a try?