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2015 ASDAN Math Tournament
4
2015 Team #4
2015 Team #4
Source:
August 3, 2022
2015
team test
Problem Statement
Let
△
A
B
C
\triangle ABC
△
A
BC
be a right triangle with hypotenuse
A
C
AC
A
C
. A square is inscribed in the triangle such that points
D
,
E
D,E
D
,
E
are on
A
C
AC
A
C
,
F
F
F
is on
B
C
BC
BC
, and
G
G
G
is on
A
B
AB
A
B
. Given that
A
G
=
2
AG=2
A
G
=
2
and
C
F
=
5
CF=5
CF
=
5
, what is the area of
△
B
F
G
\triangle BFG
△
BFG
?
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