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2012 BMT Spring
6
Spring Round (2012) #6
Spring Round (2012) #6
Source:
December 3, 2012
geometry
cyclic quadrilateral
Problem Statement
Let
ABCD
\text{ABCD}
ABCD
be a cyclic quadrilateral, with
AB
=
7
\text{AB} = 7
AB
=
7
,
BC
=
11
\text{BC} = 11
BC
=
11
,
CD
=
13
\text{CD} = 13
CD
=
13
, and
DA
=
17
\text{DA} = 17
DA
=
17
. Let the incircle of
ABD
\text{ABD}
ABD
hit
BD
\text{BD}
BD
at
R
\text{R}
R
and the incircle of
CBD
\text{CBD}
CBD
hit
BD
\text{BD}
BD
at
S
\text{S}
S
. What is
RS
\text{RS}
RS
?
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