TT2008 Junior A-Level - P3
Source:
September 4, 2010
ratioinequalitiesgeometry proposedgeometry
Problem Statement
In his triangle Serge made some measurements and informed Ilias about the lengths of median and side . Based on these data Ilias proved the assertion: angle is obtuse, while angle is acute. Determine a ratio and prove Ilias' assertion (for any triangle with such a ratio).