Why does the Pythagorean theorem work?

Answer 1

Pythagoras' theorem works because for any right angle triangle the square of its hypotenuse is equal to the sum of its squared sides.

Answer 2

The Pythagorean theorem works because it is derived from the principles of geometry and follows logically from the properties of right triangles. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This relationship can be proven using algebra or geometric proofs.