1999 OIM Problems/Problem 5
Problem
An acute triangle 
is inscribed in a circle with center 
.
The heights of the triangle are 
, 
and 
. The line 
cuts the circle at 
and 
.
a) Prove that 
is perpendicular to 
.
b) If 
is the midpoint of 
, prove that 
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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