be a triangle with circumcircle 
,
.
,
,
with 
,
,
,
intersect at 
and lines 
and 
intersect at 
.
and 
intersect again at 
.
and 
intersect the circumcircle of triangle 
again at 
and 
,
lies on 
.
for which
(use in a problem for junior) to practice. Can anyone share to me?
Y by
Let 
are the midpoints of the sides of the triangle 
is the center of the circle inscribed in it. Let 
be the intersection point of lines 
and 
. Let 
be the intersection point of lines 
and 
. Prove that line 
is perpendicular to line .
(A. Zaslavsky)
are the midpoints of the sides of the triangle 
is the center of the circle inscribed in it. Let 
be the intersection point of lines 
and 
. Let 
be the intersection point of lines 
and 
. Prove that line 
is perpendicular to line .(A. Zaslavsky)
This post has been edited 2 times. Last edited by parmenides51, Jun 21, 2022, 2:02 AM
