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National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
2003 Switzerland Team Selection Test
2
2
Part of
2003 Switzerland Team Selection Test
Problems
(1)
equal segments, altitudes and perpendicular related
Source: Switzerland - Swiss TST 2003 p2
2/18/2020
In an acute-angled triangle
A
B
C
,
E
ABC, E
A
BC
,
E
and
F
F
F
are the feet of the altitudes from
B
B
B
and
C
C
C
, and
G
G
G
and
H
H
H
are the projections of
B
B
B
and
C
C
C
on
E
F
EF
EF
, respectively. Prove that
H
E
=
F
G
HE = FG
H
E
=
FG
.
equal segments
altitudes
perpendicular
geometry