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Indonesia Regional MO OSP SMA - geometry
2017.3
2017.3
Part of
Indonesia Regional MO OSP SMA - geometry
Problems
(1)
find point X on BC such that symmetric of orthocenter wrt lies on circumcircle
Source: 2017 Indonedia MO Province P2 q3
12/10/2020
Given triangle
A
B
C
ABC
A
BC
, the three altitudes intersect at point
H
H
H
. Determine all points
X
X
X
on the side
B
C
BC
BC
so that the symmetric of
H
H
H
wrt point
X
X
X
lies on the circumcircle of triangle
A
B
C
ABC
A
BC
.
geometry
Symmetric
orthocenter
circumcircle