MathDB
Japanese-Inspired Baltic Way problem

Source: Baltic Way 1996 Q5

March 19, 2011
geometryincenterrectangleEulergeometry proposed

Problem Statement

Let ABCDABCD be a cyclic convex quadrilateral and let ra,rb,rc,rdr_a,r_b,r_c,r_d be the radii of the circles inscribed in the triangles BCD,ACD,ABD,ABCBCD, ACD, ABD, ABC, respectively. Prove that ra+rc=rb+rdr_a+r_c=r_b+r_d.
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