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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2019 India PRMO
25
Easy Geo Again
Easy Geo Again
Source: PRMO Leg 2 P25
August 25, 2019
geometry
PRMO
Problem Statement
Let
A
B
C
ABC
A
BC
be an isosceles triangle with
A
B
=
B
C
AB=BC
A
B
=
BC
. A trisector of
∠
B
\angle B
∠
B
meets
A
C
AC
A
C
at
D
D
D
. If
A
B
,
A
C
AB,AC
A
B
,
A
C
and
B
D
BD
B
D
are integers and
A
B
−
B
D
AB-BD
A
B
−
B
D
=
=
=
3
3
3
, find
A
C
AC
A
C
.
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