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India Contests
Regional Mathematical Olympiad
1997 India Regional Mathematical Olympiad
1
Areas
Areas
Source: Indian RMO 1997 Problem 1
October 26, 2005
geometry
ratio
Problem Statement
Let
P
P
P
be an interior point of a triangle
A
B
C
ABC
A
BC
and let
B
P
BP
BP
and
C
P
CP
CP
meet
A
C
AC
A
C
and
A
B
AB
A
B
in
E
E
E
and
F
F
F
respectively. IF
S
B
P
F
=
4
S_{BPF} = 4
S
BPF
=
4
,
S
B
P
C
=
8
S_{BPC} = 8
S
BPC
=
8
and
S
C
P
E
=
13
S_{CPE} = 13
S
CPE
=
13
, find
S
A
F
P
E
.
S_{AFPE}.
S
A
FPE
.
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