MathDB
3a + 4b <= 5c, right triangles inequality 2007-08 Duhrer Round1 D1

Source:

December 9, 2022
geometrygeometric inequalityDurerinequalitiesalgebra

Problem Statement

Prove the following inequality if we know that aa and bb are the legs of a right triangle , and cc is the length of the hypotenuse of this triangle: 3a+4b≤5c.3a + 4b \le 5c. When does equality holds?
Back to ProblemsView on AoPS