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National and Regional Contests
South Africa Contests
South Africa National Olympiad
1996 South africa National Olympiad
5
5
Part of
1996 South africa National Olympiad
Problems
(1)
Inscribed equilateral triangle
Source: South African MO 1996 Q5
5/27/2012
A
B
C
ABC
A
BC
is a triangle with sides
1
1
1
,
2
2
2
and
3
\sqrt3
3
. Determine the smallest possible area of an equilateral triangle with a vertex on each side of triangle
A
B
C
ABC
A
BC
.
geometry
geometry unsolved