Difference between revisions of "2013 Canadian MO Problems/Problem 5"
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Latest revision as of 01:19, 27 November 2023
Problem
Let denote the circumcentre of an acute-angled triangle
. Let point
on side
be such that
, and let point
on side
be such that
. Prove that the reflection of
in the line
is tangent to the circumcircle of triangle
.
Solution
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