MathDB
∆ABC and ∆AUV are similar

Source:

April 26, 2010
geometrycircumcirclegeometry proposed

Problem Statement

Let △ABC\triangle ABC be a triangle and let DD be a point on side BC‾\overline{BC}. Let UU and VV be the circumcenters of triangles △ABD\triangle ABD and △ADC\triangle ADC, respectively. Show, that △ABC\triangle ABC and △AUV\triangle AUV are similar.
(41th Austrian Mathematical Olympiad, regional competition, problem 3)
Back to ProblemsView on AoPS