Triangle inequality

In a triangle, any side is no longer than the sum of the other two sides. It is used to check whether three lengths can form a triangle and to bound distances.

z \leq x + y

What the symbols mean

length of one side of a triangle
length of a second side of a triangle
length of the third side of a triangle

About this formula

  • FieldMathematics
  • TopicEuclidean geometry
  • LevelHigh school
  • Also calledtriangle inequality theorem, triangle side length inequality, third side of a triangle bound, triangle inequality theorem formula
  • SourceWikidata Q208216

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