Pythagorean theorem
The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).GeometryProjecting a sphere to a plane.OutlineHistoryBranches[show]ConceptsFeatures[hide]DimensionCompass-and-straightedge constructionsAngleCurveDiagonalOrthogonal(Perpendicular)ParallelVertexCongruenceSimilaritySymmetryZero / One-dimensional[show]Two-dimensional[show]Three-dimensional[show]Four- / other-dimensional[show]Geometersby name[show]by period[show] Geometry portalvteIn mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":[1] Google says