1249. Pythagoras' theorem

    Dear Teacher:
    It's easy to prove the Pythagorean theorem for a 45 degree set square with two tangram puzzles...

    I told Pepe Chapuzas that it was important to particularize but also generalize: there were other versions of this famous theorem:

    The sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse.
    The sum of the areas of the two semicircles on the legs equals the area of the semicircle on the hypotenuse.
    The sum or the areas of the two regular pentagons on the legs equals the area of the regular pentagon on the hypotenuse.

    This happens with other figures...