In Mathematics the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle.The theorem has numerous proofs, possibly the most of any mathematical theorem. These are very diverse, including both geometric proofs and algebraic proofs.The theorem can be generalized in various ways, including
higher-dimensional spaces, to spaces that are not Euclidean, to objects
that are not right triangles, and indeed, to objects that are not
triangles at all, but n-dimensional solids. |