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Problems
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National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1962 Swedish Mathematical Competition
2
2
Part of
1962 Swedish Mathematical Competition
Problems
(1)
circumradius of PQR, in square ABCD
Source: 1962 Swedish Mathematical Competition p2
3/21/2021
A
B
C
D
ABCD
A
BC
D
is a square side
1
1
1
.
P
P
P
and
Q
Q
Q
lie on the side
A
B
AB
A
B
and
R
R
R
lies on the side
C
D
CD
C
D
. What are the possible values for the circumradius of
P
Q
R
PQR
PQR
?
geometry
radius
square