Can Boris define its perimeter?
Source: Sharygin contest. The final raund. 2008. Grade 8. Second day. Problem 8
August 31, 2008
geometryperimetergeometry unsolved
Problem Statement
(B.Frenkin, A.Zaslavsky) A convex quadrilateral was drawn on the blackboard. Boris marked the centers of four excircles each touching one side of the quadrilateral and the extensions of two adjacent sides. After this, Alexey erased the quadrilateral. Can Boris define its perimeter?