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South Africa Contests
South Africa National Olympiad
1996 South africa National Olympiad
3
3
Part of
1996 South africa National Olympiad
Problems
(1)
Triangle with integral sides
Source: South African MO 1996 Q3
5/27/2012
The sides of triangle
A
B
C
ABC
A
BC
has integer lengths. Given that
A
C
=
6
AC=6
A
C
=
6
and
∠
B
A
C
=
12
0
∘
\angle BAC=120^\circ
∠
B
A
C
=
12
0
∘
, determine the lengths of the other two sides.
calculus
integration
trigonometry
geometry
geometry unsolved