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2014 ASDAN Math Tournament
5
2014 Team #5
2014 Team #5
Source:
July 1, 2022
2014
team test
Problem Statement
Given a triangle
A
B
C
ABC
A
BC
with integer side lengths, where
B
D
BD
B
D
is an angle bisector of
∠
A
B
C
\angle ABC
∠
A
BC
,
A
D
=
4
AD=4
A
D
=
4
,
D
C
=
6
DC=6
D
C
=
6
, and
D
D
D
is on
A
C
AC
A
C
, compute the minimum possible perimeter of
△
A
B
C
\triangle ABC
△
A
BC
.
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