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geometry inequality

Source: Mathematics Regional Olympiad of Mexico Southeast 2015 P3

October 26, 2021
algebraperimetergeometryinequalities

Problem Statement

If T(n)T(n) is the numbers of triangles with integers sizes(not congruent with each other) with it´s perimeter is equal to nn, prove that:
T(2012)<T(2015)T(2012)<T(2015) T(2013)=T(2016)T(2013)=T(2016)
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