Erdös–Mordell-type inequalities

  • Zhiqin Lu

    University of California, Irvine, United States


The famous Erdös–Mordell inequality states that, if is a point in the interior of a triangle whose distances are from the vertices of the triangle and from its sides, then

In the paper by Satnoianu [1], some generalizations of the above inequality were given. His proof depends heavily on the geometry of the triangle . In this note, we give a more algebraic proof of the Erdös–Mordell inequality.

Cite this article

Zhiqin Lu, Erdös–Mordell-type inequalities. Elem. Math. 63 (2008), no. 1, pp. 23–24

DOI 10.4171/EM/82