MathDB
By this ruler only

Source: Sharygin contest 2008. The correspondence round. Problem 17

September 3, 2008
geometryincenterparallelogramgeometry proposed

Problem Statement

(A.Myakishev, 9--11) Given triangle ABC ABC and a ruler with two marked intervals equal to AC AC and BC BC. By this ruler only, find the incenter of the triangle formed by medial lines of triangle ABC ABC.