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JBMO TST - Romania
2021 Junior Balkan Team Selection Tests - Romania
P5
P5
Part of
2021 Junior Balkan Team Selection Tests - Romania
Problems
(1)
Romania Junior TST 2021 Day 1 P5
Source:
5/16/2021
Let
I
I
I
be the incenter of triangle
A
B
C
ABC
A
BC
. The circle of centre
A
A
A
and radius
A
I
AI
A
I
intersects the circumcircle of triangle
A
B
C
ABC
A
BC
in
M
M
M
and
N
N
N
. Prove that the line
M
N
MN
MN
is tangent to the incircle of triangle
A
B
C
ABC
A
BC
geometry
Romanian TST
TST