2024 AMC 12B Problems/Problem 24
Problem 24
What is the number of ordered triples 
of positive integers, with 
, such that there exists a (non-degenerate) triangle 
with an integer inradius for which 
, 
, and 
are the lengths of the altitudes from 
to 
, 
to 
, and 
to 
, respectively? (Recall that the inradius of a triangle is the radius of the largest possible circle that can be inscribed in the triangle.)
