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Problems
Contests
National and Regional Contests
Kyrgyzstan Contests
Kyrgyzstan National Olympiad
2009 Kyrgyzstan National Olympiad
1
1
Part of
2009 Kyrgyzstan National Olympiad
Problems
(1)
Estimating Area
Source: KG National 2009
4/23/2009
a
,
b
,
c
a,b,c
a
,
b
,
c
are sides of triangle
A
B
C
ABC
A
BC
. For any choosen triple from (a \plus{} 1,b,c),(a,b \plus{} 1,c),(a,b,c \plus{} 1) there exist a triangle which sides are choosen triple. Find all possible values of area which triangle
A
B
C
ABC
A
BC
can take.
geometry