MathDB
Bosnia and Herzegovina TST 1997 Day 1 Problem 2

Source: Bosnia and Herzegovina Team Selection Test 1997

September 20, 2018
geometrycircumcircleincenterAngle Chasingcyclic quadrilateral

Problem Statement

In isosceles triangle ABCABC with base side ABAB, on side BCBC it is given point MM. Let OO be a circumcenter and SS incenter of triangle ABCABC. Prove that SM∣∣AC⇔OM⊥BS SM \mid \mid AC \Leftrightarrow OM \perp BS
Back to ProblemsView on AoPS