Some inequalities for the triangle (Q5895275)

Many involved inequalities involving the average of sides \(\ell\), the average of altitudes h and the diameter D of the circumcircle of a triangle are proved. Many interesting consequences are discussed including certain non-constructibilities (using straight-edge and compass). This is, in a sense, a continuation of an earlier paper by the first and last authors [Rev. Educ. 1, 3-12 (1983)].