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Dutch Mathematical Olympiad
2002 Dutch Mathematical Olympiad
5
<A=2<B, AB=3, AC=2, BC=?
<A=2<B, AB=3, AC=2, BC=?
Source: Dutch NMO 2002 p5
September 21, 2019
geometry
trigonometry
angles
Problem Statement
In triangle
A
B
C
ABC
A
BC
, angle
A
A
A
is twice as large as angle
B
B
B
.
A
B
=
3
AB = 3
A
B
=
3
and
A
C
=
2
AC = 2
A
C
=
2
. Calculate
B
C
BC
BC
.
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