Symmetric Homogeneous Triangle Inequalities
نویسنده
چکیده
A brief scan through the problem columns of various mathematical journals shows a continual outpouring of proposed problems involving what can be roughly described as “triangle inequalities”. A few examples will suffice to indicate the flavor of these perennial favorites: Let the sides of a triangle be a, b, c and let the angles be A, B, C. Let r and R be the inradius and circumradius, respectively. Let K denote the area of the triangle and let s denote its semiperimeter. Then
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