MathDB
Inequality in a cyclic quadrilateral

Source:

November 20, 2017
geometrycyclic quadrilateralinequalities

Problem Statement

Let ABCDABCD be a cyclic quadrilateral. Show that ∣AC‾−BD‾∣≤∣AB‾−CD‾∣\vert \overline{AC} - \overline{BD} \vert \le \vert \overline{AB}-\overline{CD} \vert and determine when does equality hold.
Back to ProblemsView on AoPS