MathDB
inequality with 2 midpoints, a chord one and the corresponding arc

Source: St. Petersburg 2019 9.3

May 1, 2019
inequalitiesgeometric inequalitymidpointarc midpoint

Problem Statement

Prove that the distance between the midpoint of side BCBC of triangle ABCABC and the midpoint of the arc ABCABC of its circumscribed circle is not less than AB/2AB / 2