MathDB
MMO 028 Moscow MO 1936 line construction, given perimeter

Source:

July 18, 2019
perimetergeometric constructionline constructiongeometry

Problem Statement

Given an angle less than 180o180^o, and a point MM outside the angle. Draw a line through MM so that the triangle, whose vertices are the vertex of the angle and the intersection points of its legs with the line drawn, has a given perimeter.