MathDB
maximize triangle formed by feet from point in triangle

Source: Bulgaria 1974 P5

June 20, 2021
Trianglesgeometry

Problem Statement

Find all point MM lying into given acute-angled triangle ABCABC and such that the area of the triangle with vertices on the feet of the perpendiculars drawn from MM to the lines BCBC, CACA, ABAB is maximal.
H. Lesov
Back to ProblemsView on AoPS