MathDB
IMO Shortlist 2010 - Problem G6

Source:

July 17, 2011
geometryincentercircumcircleinequalitiesIMO Shortlist

Problem Statement

The vertices X,Y,ZX, Y , Z of an equilateral triangle XYZXYZ lie respectively on the sides BC,CA,ABBC, CA, AB of an acute-angled triangle ABC.ABC. Prove that the incenter of triangle ABCABC lies inside triangle XYZ.XYZ.
Proposed by Nikolay Beluhov, Bulgaria
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