Definition 2024


Pythagorean theorem


Alternative forms

Proper noun

Pythagorean theorem

  1. (geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.
    The Pythagorean theorem only applies to right triangles.
  2. (functional analysis) A generalization of the Pythagorean theorem for Euclidean triangles to Hilbert spaces