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2014 JBMO Shortlist
1
2014 JBMO Shortlist G1
2014 JBMO Shortlist G1
Source: 2014 JBMO Shortlist G1
October 8, 2017
JBMO
geometry
Problem Statement
Let
A
B
C
{ABC}
A
BC
be a triangle with
m
(
∠
B
)
=
m
(
∠
C
)
=
40
∘
m\left( \angle B \right)=m\left( \angle C \right)={{40}^{{}^\circ }}
m
(
∠
B
)
=
m
(
∠
C
)
=
40
∘
Line bisector of
∠
B
{\angle{B}}
∠
B
intersects
A
C
{AC}
A
C
at point
D
{D}
D
. Prove that
B
D
+
D
A
=
B
C
BD+DA=BC
B
D
+
D
A
=
BC
.
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