MathDB
Spring Round (2012) #6

Source:

December 3, 2012
geometrycyclic quadrilateral

Problem Statement

Let ABCD \text{ABCD} be a cyclic quadrilateral, with AB=7 \text{AB} = 7 , BC=11 \text{BC} = 11 , CD=13 \text{CD} = 13 , and DA=17 \text{DA} = 17 . Let the incircle of ABD \text{ABD} hit BD \text{BD} at R \text{R} and the incircle of CBD \text{CBD} hit BD \text{BD} at S \text{S} . What is RS \text{RS} ?