Difference between revisions of "2023 SSMO Relay Round 3 Problems/Problem 1"
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Latest revision as of 22:29, 15 December 2023
Problem
In triangle 
with 
, circles 
and 
are drawn, centered at 
and 
, respectively. Each of the three circles are externally tangent to the two other circles. If the radius of a circle 
such that is internally tangent to and is 
for relatively prime positive integers 
and 
, find 
