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It works in Euclidean geometry, but not in hyperbolic.

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15y ago

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What is meaning of the pythagorean theorem?

In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a 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.


What is leg squared plusleg squared equals hypotenuse squared?

In mathematics, the Pythagorean theorem is a relation in Euclidean geometry among the three sides of a right triangle.


What grade do you learn the Pythagorean theorem?

When you're in Geometry.


What mamthamatician had something to do with geometry?

Pythagoras - He invented the Pythagorean Theorem.


The Pythagorean theorem belongs to which science field?

Plane geometry.


What jobs require that you know the Pythagorean theorem?

maths/geometry tutor


Famous geometers and their contributions in geometry?

Archimedes - Euclidean geometry Pierre Ossian Bonnet - differential geometry Brahmagupta - Euclidean geometry, cyclic quadrilaterals Raoul Bricard - descriptive geometry Henri Brocard - Brocard points.. Giovanni Ceva - Euclidean geometry Shiing-Shen Chern - differential geometry René Descartes - invented the methodology analytic geometry Joseph Diaz Gergonne - projective geometry; Gergonne point Girard Desargues - projective geometry; Desargues' theorem Eratosthenes - Euclidean geometry Euclid - Elements, Euclidean geometry Leonhard Euler - Euler's Law Katyayana - Euclidean geometry Nikolai Ivanovich Lobachevsky - non-Euclidean geometry Omar Khayyam - algebraic geometry, conic sections Blaise Pascal - projective geometry Pappus of Alexandria - Euclidean geometry, projective geometry Pythagoras - Euclidean geometry Bernhard Riemann - non-Euclidean geometry Giovanni Gerolamo Saccheri - non-Euclidean geometry Oswald Veblen - projective geometry, differential geometry


Can the distance formula can be derived from the Pythagorean theorem?

Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.


What is are facts about geomerty?

Geometry is a branch of mathematics that studies the properties and relationships of points, lines, surfaces, and solids. It includes various subfields such as Euclidean geometry, which deals with flat spaces, and non-Euclidean geometry, which explores curved spaces. Key concepts in geometry include shapes, angles, congruence, similarity, and the Pythagorean theorem, which relates the sides of right triangles. Additionally, geometry has practical applications in fields like architecture, engineering, and computer graphics.


Who is Pythagoras and Euclid?

Pythagoras and Euclid are both mathematicians. Pythogoras has commonly been given credit for discovering the Pythagorean theorem, a theorem in geometry that states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides-that is, . Euclid is in charge of dicovering Pythagorean Triples, Euclidean geometry and more geometry realated things. Euclid also wrote a book called "Elements" in support of his math.


How did the Pythagorean theorem help?

The Pythagorean theorem, which states that in a right triangle the square of the length of the hypotenuse equals the sum of the squares of the other two sides, has been fundamental in various fields, including mathematics, physics, and engineering. It provides a method for calculating distances and relationships in Euclidean space, facilitating advancements in geometry and trigonometry. Additionally, it has practical applications in construction, navigation, and computer graphics, enabling precise measurements and designs. Overall, the theorem has been crucial in shaping our understanding of spatial relationships and geometry.


What are the other areas of maths besides geometry that make use of the Pythagorean Theorem?

Trig., Calculus.