2013 USAJMO Problems/Problem 5
Revision as of 17:02, 3 July 2013 by Tenniskidperson3 (talk | contribs)
Problem
Quadrilateral is inscribed in the semicircle
with diameter
. Segments
and
meet at
. Point
is the foot of the perpendicular from
to line
. Point
lies on
such that line
is perpendicular to line
. Let
be the intersection of segments
and
. Prove that
.
Solution
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.