# triangle inequality

## English

### Proper noun

the triangle inequality

English Wikipedia has an article on:
Wikipedia
1. (mathematical analysis) 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.
${\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|}$