Pythagoras's Theorem Pythagorean Theorem <mathematics> The theorem of geometry, named after {Pythagoras}, of Samos, Ionia, stating that, for a right-angled 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. I.e. if the longest side has length A and the other sides have lengths B and C (in any units), A^2 = B^2 + C^2 (2004-02-12)