Pythagorean theorem

For a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs. It is used to find a missing side length of a right triangle and to test whether a triangle is right-angled.

a^2 + b^2 = c^2

What the symbols mean

length of one leg (cathetus) of the right triangle
length of the other leg (cathetus) of the right triangle
length of the hypotenuse, the side opposite the right angle

About this formula

  • FieldMathematics
  • TopicEuclidean geometry
  • LevelHigh school
  • Also calledPythagoras theorem, Pythagorean proposition, right triangle side relation, hypotenuse formula, a squared plus b squared equals c squared, Pythagoras' theorem
  • SourceWikidata Q11518

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