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Kosovo MO 2012 Grade 9, Problem 2

Source: Kosovo MO 2012 Grade 9, Problem 2

June 7, 2021
geometryInequality

Problem Statement

If a>1,b>1a>1,b>1 are the legths of the catheti of an right triangle and cc the length of its hypotenuse, prove that a+b≤c2a+b\leq c\sqrt 2
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