R,Area,r in arithmetic progression
Source:
October 31, 2019
geometrycircumcircleinradiusarithmetic sequence
Problem Statement
Prove that the sum of the squares of the medians of a triangle is at least if the circumradius of the triangle, the area of the triangle and the inradius of the triangle (in this order) are in arithmetic progression.
Dumitru Crăciun