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Akdeniz University MO
2011 Akdeniz University MO
2
question
question
Source:
January 29, 2016
Plane Geometry
geometry
Problem Statement
Let
O
O
O
is a point in a plane
P
P
P
and let
[
O
X
,
[
O
Y
,
[
O
Z
[OX,[OY,[OZ
[
OX
,
[
O
Y
,
[
OZ
is distinct ray in
P
P
P
. Prove that, if
A
∈
[
O
X
A \in [OX
A
∈
[
OX
,
B
∈
[
O
Y
B \in [OY
B
∈
[
O
Y
and
C
∈
[
O
Z
C \in [OZ
C
∈
[
OZ
points such that
△
O
A
B
\triangle OAB
△
O
A
B
,
△
O
B
C
\triangle OBC
△
OBC
and
△
O
C
A
\triangle OCA
△
OC
A
's perimeter is 2, there is only one
(
A
,
B
,
C
)
(A,B,C)
(
A
,
B
,
C
)
triple
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