What does triangle inequality mean?
Definitions for triangle inequality
tri·an·gle inequal·i·ty
This dictionary definitions page includes all the possible meanings, example usage and translations of the word triangle inequality.
Wiktionary
triangle inequalitynoun
The inequality that states that the magnitude of the sum of two vectors is less than or equal to the sum of the magnitudes of the vectors, or any equivalent inequality in other spaces.
Wikidata
Triangle inequality
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. In Euclidean geometry and some other geometries the triangle inequality is a theorem about distances. In Euclidean geometry, for right triangles it is a consequence of the Pythagorean theorem, and for general triangles a consequence of the law of cosines, although it may be proven without these theorems. The inequality can be viewed intuitively in either R² or R³. The figure at the right shows three examples beginning with clear inequality and approaching equality. In the Euclidean case, equality occurs only if the triangle has a 180° angle and two 0° angles, making the three vertices collinear, as shown in the bottom example. Thus, in Euclidean geometry, the shortest distance between two points is a straight line. In spherical geometry, the shortest distance between two points is an arc of a great circle, but the triangle inequality holds provided the restriction is made that the distance between two points on a sphere is the length of a minor spherical line segment with those endpoints.p
Numerology
Chaldean Numerology
The numerical value of triangle inequality in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of triangle inequality in Pythagorean Numerology is: 3
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"triangle inequality." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/triangle+inequality>.
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