exists line \\ ta a given cutting 3 right triangles into congruent segments
Source: All - Russian Regional Olympiad (Round 4) 1993 9.6
August 26, 2024
geometryright triangle
Problem Statement
Three right-angled triangles have been placed in a halfplane determined by a line , each with one leg lying on . Assume that there is a line parallel to cutting the triangles in three congruent segments. Show that, if each of the triangles is rotated so that its other leg lies on , then there still exists a line parallel to cutting them in three congruent segments.