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India Pre-Regional Mathematical Olympiad
2017 India PRMO
13
2017 preRMO p13, computational in a rectangle
2017 preRMO p13, computational in a rectangle
Source:
August 9, 2019
geometry
rectangle
Problem Statement
In a rectangle
A
B
C
D
,
E
ABCD, E
A
BC
D
,
E
is the midpoint of
A
B
,
F
AB, F
A
B
,
F
is a point on
A
C
AC
A
C
such that
B
F
BF
BF
is perpendicular to
A
C
AC
A
C
, and
F
E
FE
FE
perpendicular to
B
D
BD
B
D
. Suppose
B
C
=
8
3
BC = 8\sqrt3
BC
=
8
3
. Find
A
B
AB
A
B
.
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