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Math Open At Andover problems
2023 MOAA
21
21
Part of
2023 MOAA
Problems
(1)
2023 MOAA Gunga P21
Source:
10/15/2023
In obtuse triangle
A
B
C
ABC
A
BC
where
∠
B
>
9
0
∘
\angle B > 90^\circ
∠
B
>
9
0
∘
let
H
H
H
and
O
O
O
be its orthocenter and circumcenter respectively. Let
D
D
D
be the foot of the altitude from
A
A
A
to
H
C
HC
H
C
and
E
E
E
be the foot of the altitude from
B
B
B
to
A
C
AC
A
C
such that
O
,
E
,
D
O,E,D
O
,
E
,
D
lie on a line. If
O
C
=
8
OC=8
OC
=
8
and
O
E
=
4
OE=4
OE
=
4
, find the area of triangle
H
A
B
HAB
H
A
B
.Proposed by Harry Kim
MOAA 2023