MathDB
A construction problem

Source: I.F.Sharygin contest 2009 - Correspondence round - Problem 13

May 31, 2009
geometryincenterperpendicular bisectorgeometry proposed

Problem Statement

In triangle ABC ABC, one has marked the incenter, the foot of altitude from vertex C C and the center of the excircle tangent to side AB AB. After this, the triangle was erased. Restore it.