MathDB
circumcircle is tangent to AB

Source: All-Russian olympiad 2015, class 9, day 2, problem 7

November 5, 2015
geometry proposedgeometrycircumcircle

Problem Statement

Given an acute triangle ABCABC with AB<ACAB < AC.Let Ω\Omega be the circumcircle of ABC ABC and MM be centeriod of triangle ABCABC.AHAH is altitude of ABCABC.MHMH intersect with Ω\Omega at A′A'.prove that circumcircle of triangle A′HBA'HB is tangent to ABAB.
A.I.Golovanov, A. Yakubov
Back to ProblemsView on AoPS