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2022 CMIMC
1.5
2022 Geo Div 1 P5
2022 Geo Div 1 P5
Source:
February 28, 2022
geometry
Problem Statement
In triangle
A
B
C
ABC
A
BC
, let
I
,
O
,
H
I, O, H
I
,
O
,
H
be the incenter, circumcenter and orthocenter, respectively. Suppose that
A
I
=
11
AI = 11
A
I
=
11
and
A
O
=
A
H
=
13
AO = AH = 13
A
O
=
A
H
=
13
. Find
O
H
OH
O
H
.Proposed by Kevin You
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