geo inequality with inscribed trapezoid
Source: 2021 Oral Moscow Geometry Olympiad grades 8-9 p5
May 24, 2021
geometrycircumcirclegeometric inequalitytrapezoidisosceles
Problem Statement
The trapezoid is inscribed in a circle. Prove that the sum of distances from any point of the circle to the midpoints of the lateral sides are not less than the diagonal of the trapezoid.