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4
2000 Guts #4: Coordinates of triangle verticies
2000 Guts #4: Coordinates of triangle verticies
Source:
October 12, 2014
analytic geometry
geometry
circumcircle
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle and
H
H
H
be its orthocenter. If it is given that
B
B
B
is
(
0
,
0
)
(0,0)
(
0
,
0
)
,
C
C
C
is
(
1
,
2
)
(1,2)
(
1
,
2
)
and
H
H
H
is
(
5
,
0
)
(5,0)
(
5
,
0
)
, find
A
A
A
.
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