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Baltic Way
2011 Baltic Way
12
12
Part of
2011 Baltic Way
Problems
(1)
Determine the angle BPA
Source: Baltic Way 2011
11/6/2011
Let
P
P
P
be a point inside a square
A
B
C
D
ABCD
A
BC
D
such that
P
A
:
P
B
:
P
C
PA:PB:PC
P
A
:
PB
:
PC
is
1
:
2
:
3
1:2:3
1
:
2
:
3
. Determine the angle
∠
B
P
A
\angle BPA
∠
BP
A
.
geometry proposed
geometry