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2 ημέρες πριν · Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a 2 + b 2 = c 2.
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Pythagorean theorem, Rule relating the lengths of the sides...
- Square
square, in geometry, a plane figure with four equal sides...
- Euclidean Geometry
Euclidean geometry is the study of plane and solid figures...
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22 Φεβ 2011 · The Pythagorean Theorem states that a² + b² = c². This is used when we are given a triangle in which we only know the length of two of the three sides. C is the longest side of the angle known as the hypotenuse.
The Pythagorean Theorem, named after the ancient Greek mathematician Pythagoras, states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
The Pythagorean theorem is a fundamental result in Euclidean geometry that relates the side lengths of a right triangle through the simple relationship a² + b² = c². The relationship was known to the ancient scholars and builders of Babylon, Egypt, China and India.
The Pythagorean theorem is derived from the axioms of Euclidean geometry, and in fact, were the Pythagorean theorem to fail for some right triangle, then the plane in which this triangle is contained cannot be Euclidean.
23 Ιαν 2020 · The Pythagorean theorem, c2 = a2 + b2, implies that the sum of (a + b) is larger than c, that is, the sum of the lengths of the two sides is greater than the length of the hypotenuse, or in algebraic symbols, (a + b) > c.
Nearly 1800 years after Archimedes, a French lawyer and freelance mathematician by the name François Viète (1540–1603) made history by appending a certain algebraic formula with the word “etcetera,” implying that the procedure called for by the formula could be repeated again and again, ad infinitum.
