Y by HamstPan38825, Adventure10, Mango247, NicoN9
Triangle
has sides
,
, and
. Let
be the points on segments
, respectively, such that
and
. Suppose lines
and
intersect at
and the circumcircles of
and
intersect at a second point
. If the length of segment
can be expressed in the form
for positive integers
, where
is not divisible by the square of any prime, find
.
Victor Wang



















Victor Wang