2019 AIME II Problems/Problem 15
Problem
In acute triangle 
points 
and 
are the feet of the perpendiculars from 
to 
and from 
to 
, respectively. Line 
intersects the circumcircle of 
in two distinct points, 
and 
. Suppose 
, 
, and 
. The value of 
can be written in the form 
where 
and 
are positive relatively prime integers. Find 
.
Solution
See Also
| 2019 AIME II (Problems • Answer Key • Resources) | ||
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