Applicable when the spread equals one, this statement can be formulated in terms of addition using rational trigonometry.
Applicable when the spread equals one, this statement can be formulated in terms of addition using rational trigonometry. A generalization of it to inner product spaces is known as Parseval's identity, while a three-dimensional generalization is de Gua's theorem. The parallelogram law simplifies to this statement in a special case, and one proof of this theorem constructs congruent triangles whose areas are half those of a square and a rectangle. It is generalized by the law of cosines to triangles with any three angles. For 10 points, name this theorem used to find the length of the hypotenuse of a right triangle, stated as A squared plus B squared equals C squared.
Applicable when the spread equals one, this statement can be formulated in terms of addition using rational trigonometry.
{Pythagorean} theorem