MathDB
Problems
Contests
National and Regional Contests
Portugal Contests
Portugal MO
2016 Portugal MO
3
3
Part of
2016 Portugal MO
Problems
(1)
min length of segment that is area bisector in an equilateral triangle
Source: 2016 Portugal p3
10/10/2020
Let
[
A
B
C
]
[ABC]
[
A
BC
]
be an equilateral triangle on the side
1
1
1
. Determine the length of the smallest segment
[
D
E
]
[DE]
[
D
E
]
, where
D
D
D
and
E
E
E
are on the sides of the triangle, which divides
[
A
B
C
]
[ABC]
[
A
BC
]
into two figures with equal area.
geometry
areas
equal areas
Equilateral