be reals such that 
P
,
,
is __
satisfying 
denote its inradius and ex-radii opposite to the vertices 
respectively. If 
and 
,
is obtuse
is acute
,
is semi perimeter
,
Y by ObjectZ, ineqcfe
Let 
be a triangle with orthocenter 
and 
a line that passes through , and is parallel to 
. Let 
and 
be the reflections of on the sides of 
and 
, respectively, and are intersect at 
. If 
and intersect at 
, prove that the parallel to 
through and 
intersect at the circumcenter of the triangle .
be a triangle with orthocenter 
and 
a line that passes through , and is parallel to 
. Let 
and 
be the reflections of on the sides of 
and 
, respectively, and are intersect at 
. If 
and intersect at 
, prove that the parallel to 
through and 
intersect at the circumcenter of the triangle .This post has been edited 2 times. Last edited by parmenides51, Nov 12, 2021, 7:45 PM
