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Mathematics
Mathematics
Problem
Let
H
H
H
be the orthocentre of triangle
A
B
C
ABC
A
B
C
. Let
M
M
M
be the midpoint of
B
C
BC
B
C
. Let the ray
H
M
HM
H
M
be extended beyond
M
M
M
to meet the circumcircle
(
A
B
C
)
(ABC)
(
A
B
C
)
again at
P
P
P
. Prove that
H
C
P
B
HCPB
H
C
P
B
is a parallelogram.
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