MathDB
Geometry inXMO need calculating

Source: 16th XMO

June 22, 2024
geometrycircumcircle

Problem Statement

In a triangle ABCABC , let OO be the circumcenter , AOAO meet BCBC at KK , A circle Ω\Omega with the centre TT and the center KK and the radius AKAK meet ACAC again at TT , DD is a point on the plain satisfies that BCBC is the bisector of the angle ∠ABD\angle ABD , let the orthocenter of the triangle ABCABC and BCDBCD be MM and NN . If MN//ACMN//AC than DTDT is tangent to Ω\Omega
Back to ProblemsView on AoPS