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1998 Portugal MO
2
2
Part of
1998 Portugal MO
Problems
(1)
PA^2+PB^2+...+PH^2 =?, regular octagon ABC...H 1998 Portugal p2
Source:
10/11/2020
The regular octagon of the following figure is inscribed in a circle of radius
1
1
1
and
P
P
P
is a arbitrary point of this circle. Calculate the value of
P
A
2
+
P
B
2
+
.
.
.
+
P
H
2
PA^2 + PB^2 +...+ PH^2
P
A
2
+
P
B
2
+
...
+
P
H
2
. https://cdn.artofproblemsolving.com/attachments/4/c/85e8e48c45970556077ac09c843193959b0e5a.png
geometry
Regular
octagon