2019 USAJMO Problems/Problem 4
Revision as of 18:05, 19 April 2019 by Kevinmathz (talk | contribs) (Created page with "<math>(*)</math> Let <math>ABC</math> be a triangle with <math>\angle ABC</math> obtuse. The [i]<math>A</math>-excircle[/i] is a circle in the exterior of <math>\triangle ABC<...")
Let 
be a triangle with 
obtuse. The [i]
-excircle[/i] is a circle in the exterior of 
that is tangent to side 
of the triangle and tangent to the extensions of the other two sides. Let 
, 
be the feet of the altitudes from 
and 
to lines 
and 
, respectively. Can line 
be tangent to the -excircle?
