Triangle - Existence of A Triangle

Existence of A Triangle

The sum of the lengths of any two sides of a triangle always exceeds the length of the third side, a principle known as the triangle inequality. Since the vertices of a triangle are assumed to be non-collinear, it is not possible for the sum of the length of two sides be equal to the length of the third side.

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Famous quotes containing the word existence:

    “Nothing exists except by virtue of a disequilibrium, an injustice. All existence is a theft paid for by other existences; no life flowers except on a cemetery.”
    —Rémy De Gourmont (1858–1915)