pythagorean theorem

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A generalization of the Pythagorean theorem (1) to Hilbert spaces
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
mathematical theory developed by Pythagoras (Greek mathematician)
n. The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse. Rule relating the lengths of the sides of a right triangle. It says that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (the side opposite the right angle). That is, a^2 + b^2 = c^2, where c is the length of the hypotenuse. Triads of whole numbers that satisfy it (e.g., 3, 4, and 5) are called Pythagorean triples. See also law of cosines; law of sines
pythagorean theorem

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    Py·thag·o·re·an the·o·rem

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    () Named after Pythagoras, from Ancient Greek Πυθαγόρας (Pythagoras), Greek mathematician and philosopher who by tradition is credited with theorem’s discovery and proof.
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