MathDB
altitudes of ADE intersect at midpoint of BC

Source: 2020 Grand Duchy of Lithuania, Mathematical Contest p3 (Baltic Way TST)

October 3, 2020
geometrycircumcircleconcurrent

Problem Statement

The tangents of the circumcircle Ω\Omega of the triangle ABCABC at points BB and CC intersect at point PP. The perpendiculars drawn from point PP to lines ABAB and ACAC intersect at pointsD D and EE respectively. Prove that the altitudes of the triangle ADEADE intersect at the midpoint of the segment BCBC.
Back to ProblemsView on AoPS