inequality for daigonal on isosceles trapezoid
Source: Sharygin Finals 2022 8.8
October 26, 2022
inequalitiesgeometrygeometric inequalityisoscelestrapezoid
Problem Statement
An isosceles trapezoid () is given. A point on its circumcircle is such that segments and meet at point . Let be tha midpoint of. Prove that the diagonal of the trapezoid is not greater than the sum of distances from the midpoints of the lateral sides to ana arbitrary point of line .