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1990 Greece National Olympiad
3
equailteral of <CAD=<CBE=30^o - 1990 Greece MO Grade X p4
equailteral of <CAD=<CBE=30^o - 1990 Greece MO Grade X p4
Source:
September 6, 2024
geometry
Equilateral
Problem Statement
In a triangle
A
B
C
ABC
A
BC
with medians
A
D
AD
A
D
and
B
E
BE
BE
, holds that
∠
C
A
D
=
∠
C
B
E
=
3
0
o
\angle CAD= \angle CBE=30^o
∠
C
A
D
=
∠
CBE
=
3
0
o
. Prove that triangle
A
B
C
ABC
A
BC
is equilateral.
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