maximum diameter less than medial line
Source: Sharygin 2023 - P3 (Grade-8)
March 4, 2023
geometrytrapezoidSharygin Geometry OlympiadSharygin 2023
Problem Statement
A circle touches the lateral sides of a trapezoid at points and , and its center lies on . Prove that the diameter of the circle is less than the medial line of the trapezoid.