Gizem Günel Açıksöz, Serenay Şen, Zeynep Sezer, and
Geometric Inequalities in Pedal Quadrilaterals,
Forum Geometricorum, 18 (2018) 103--114.
Abstract. The aim of this paper is to investigate the general properties of the pedal quadrilateral of a point P with respect to a convex and closed quadrilateral ABCD. In particular, we present an analogue of Erdos-Mordell Inequality, stating that for any triangle ABC and a point P inside ABC, the sum of the distances from P to the sides is less than or equal to half of the sum of the distances from P to the vertices of ABC, for an inscribed quadrilateral.
[ps file] [pdf]
Return to Forum Geom., 18 (2018) Table of Contents