2019 CIME I Problems/Problem 14
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Let 
be a triangle with circumcenter 
and incenter 
such that the lengths of the three segments 
, 
, and 
form an increasing arithmetic progression in this order. If 
and 
, then the distance from 
to can be expressed as 
, where 
and 
are relatively prime positive integers. Find 
.
The problems on this page are copyrighted by the MAC's Christmas Mathematics Competitions. 
