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South Africa Contests
South Africa National Olympiad
2006 South africa National Olympiad
2
2
Part of
2006 South africa National Olympiad
Problems
(1)
What is the largest that this angle can be?
Source: South African MO 2006 Q2
5/27/2012
Triangle
A
B
C
ABC
A
BC
has
B
C
=
1
BC=1
BC
=
1
and
A
C
=
2
AC=2
A
C
=
2
. What is the maximum possible value of
A
^
\hat{A}
A
^
.
calculus
derivative
trigonometry
geometry unsolved
geometry