Disproved conjectures | Triangle inequalities

Ono's inequality

In mathematics, Ono's inequality is a theorem about triangles in the Euclidean plane. In its original form, as conjectured by T. Ono in 1914, the inequality is actually false; however, the statement is true for acute triangles and right triangles, as shown by F. Balitrand in 1916. (Wikipedia).

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Related pages

List of triangle inequalities | Conjecture | Mathematics | Right triangle | Theorem | Euclidean plane | Triangle | Equilateral triangle | Similarity (geometry) | Counterexample