MathDB
Problems
Contests
International Contests
Cono Sur Olympiad
Cono Sur Shortlist - geometry
1993.6
1993.6
Part of
Cono Sur Shortlist - geometry
Problems
(1)
DEF equilateral if AD=BE = CF - 1993 Cono Sur Shortlist G6
Source:
10/24/2021
Consider in the interior of an equilateral triangle
A
B
C
ABC
A
BC
points
D
,
E
D, E
D
,
E
and
F
F
F
such that
D
D
D
belongs to segment
B
E
BE
BE
,
E
E
E
belongs to segment
C
F
CF
CF
and
F
F
F
to segment
A
D
AD
A
D
. If
A
D
=
B
E
=
C
F
AD=BE = CF
A
D
=
BE
=
CF
then
D
E
F
DEF
D
EF
is equilateral.
geometry
Equilateral
equal segments