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National and Regional Contests
Portugal Contests
Portugal MO
2000 Portugal MO
5
5
Part of
2000 Portugal MO
Problems
(1)
computation, right triangle inside right triangle 2000 Portugal p5
Source:
10/12/2020
In the figure,
[
A
B
C
]
[ABC]
[
A
BC
]
and
[
D
E
C
]
[DEC]
[
D
EC
]
are right triangles . Knowing that
E
B
=
1
/
2
,
E
C
=
1
EB = 1/2, EC = 1
EB
=
1/2
,
EC
=
1
and
A
D
=
1
AD = 1
A
D
=
1
, calculate
D
C
DC
D
C
. https://1.bp.blogspot.com/-nAOrVnK5JmI/X4UMb2CNTyI/AAAAAAAAMmk/TtaBESxYyJ0FsBoY2XaCGlCTc6mgmA5TQCLcBGAsYHQ/s0/2000%2Bportugal%2Bp5.png
geometry
right triangle