Problem #PRU-57304

Problemas Geometría Geometría plana Desigualdades geométricas Desigualdades en un triángulo Desigualdades en un triángulo que involucran medianas
 13–13  2.0

Problem

Prove that \((a + b - c)/2 < m_c < (a + b)/2\), where \(a\), \(b\) and \(c\) are the lengths of the sides of an arbitrary triangle and \(m_c\) is the median to side \(c\).