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In triangle ABC, D lies on AB with AD : DB = 2 : 3. A… | StemPy Lab
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In triangle ABC, D lies on AB with AD : DB = 2 : 3. A line through D parallel to BC meets AC at E. A line through E parallel to AB meets BC at F. What is BF : FC?
Mathematics
Hard
High School (9–10)
General
Geometry › Triangles
Olympiad
SAT
Created by
StemPy Lab
In triangle
A
B
C
ABC
A
B
C
,
D
D
D
lies on
A
B
AB
A
B
with
A
D
:
D
B
=
2
:
3
AD : DB = 2 : 3
A
D
:
D
B
=
2
:
3
. A line through
D
D
D
parallel to
B
C
BC
B
C
meets
A
C
AC
A
C
at
E
E
E
. A line through
E
E
E
parallel to
A
B
AB
A
B
meets
B
C
BC
B
C
at
F
F
F
. What is
B
F
:
F
C
BF : FC
B
F
:
F
C
?
2
:
3
2 : 3
2
:
3
2
:
5
2 : 5
2
:
5
3
:
2
3 : 2
3
:
2
3
:
5
3 : 5
3
:
5
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