MathDB
The circumcentre of triangle AED

Source: Italy TST 2002

November 9, 2010
geometrycircumcircleperpendicular bisectorgeometry unsolved

Problem Statement

A scalene triangle ABCABC is inscribed in a circle Γ\Gamma. The bisector of angle AA meets BCBC at EE. Let MM be the midpoint of the arc BACBAC. The line MEME intersects Γ\Gamma again at DD. Show that the circumcentre of triangle AEDAED coincides with the intersection point of the tangent to Γ\Gamma at DD and the line BCBC.
Back to ProblemsView on AoPS