MathDB
In a parallelogram show that PA+PB+AD≥PE

Source: Iran Third Round 1997, E1, P2

March 27, 2011
geometryparallelogramgeometric transformationrotationgeometry unsolved

Problem Statement

Let ABCDABCD be a parallelogram. Construct the equilateral triangle DCEDCE on the side DCDC and outside of parallelogram. Let PP be an arbitrary point in plane of ABCDABCD. Show that PA+PB+AD≥PE.PA+PB+AD \geq PE.
Back to ProblemsView on AoPS