In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

geometry, the inverse Pythagorean theorem (also known as the reciprocal Pythagorean theorem or the upside down Pythagorean theorem) is as follows: Let A...

\beta .\end{aligned}}} The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles: if γ {\displaystyle \gamma...

under-performing. The name comes from the formula's resemblance to the Pythagorean theorem. The basic formula is: W i n   R a t i o = runs scored 2 runs scored...

(the same for the three elements). The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the...

as its diameter. This is Thales' theorem. The legs and hypotenuse of a right triangle satisfy the Pythagorean theorem: the sum of the areas of the squares...

mathematical problem", in part because the theorem has the largest number of unsuccessful proofs. The Pythagorean equation, x2 + y2 = z2, has an infinite...

The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric...

many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions...

statements of the Pythagorean theorem, both in the case of an isosceles right triangle and in the general case, as well as lists of Pythagorean triples. In...