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6
2018 November Team #6
2018 November Team #6
Source:
November 13, 2018
geometry
Problem Statement
Triangle
△
P
Q
R
\triangle PQR
△
PQR
, with
P
Q
=
P
R
=
5
PQ=PR=5
PQ
=
PR
=
5
and
Q
R
=
6
QR=6
QR
=
6
, is inscribed in circle
ω
\omega
ω
. Compute the radius of the circle with center on
Q
R
‾
\overline{QR}
QR
which is tangent to both
ω
\omega
ω
and
P
Q
‾
\overline{PQ}
PQ
.
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