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Mathematics
Mathematics
Problem
Let
A
B
C
D
ABCD
A
B
C
D
be a rectangle and
P
P
P
be any point in its plane. Show that
P
A
2
+
P
C
2
=
P
B
2
+
P
D
2
PA^2 + PC^2 = PB^2 + PD^2
P
A
2
+
P
C
2
=
P
B
2
+
P
D
2
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