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10
1999 HMMT Geometry # 10
1999 HMMT Geometry # 10
Source:
March 3, 2024
geometry
Problem Statement
In the figure below,
A
B
=
15
AB = 15
A
B
=
15
,
B
D
=
18
BD = 18
B
D
=
18
,
A
F
=
15
AF = 15
A
F
=
15
,
D
F
=
12
DF = 12
D
F
=
12
,
B
E
=
24
BE = 24
BE
=
24
, and
C
F
=
17
CF = 17
CF
=
17
. Find
B
G
:
F
G
BG : FG
BG
:
FG
. https://cdn.artofproblemsolving.com/attachments/9/e/dc171c52961442f9846d2fce858937ff9fb7e8.png
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