Difference between revisions of "2024 USAMO Problems/Problem 5"
Anyu-tsuruko (talk | contribs) (Created page with "Point <math>D</math> is selected inside acute triangle <math>A B C</math> so that <math>\angle D A C=</math> <math>\angle A C B</math> and <math>\angle B D C=90^{\circ}+\angle...") |
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Revision as of 22:30, 20 March 2024
Point is selected inside acute triangle
so that
and
. Point
is chosen on ray
so that
. Let
be the midpoint of
.
Show that line
is tangent to the circumcircle of triangle
.