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7
SMT RMT 2014 Geometry #7
SMT RMT 2014 Geometry #7
Source:
October 28, 2022
geometry
Problem Statement
Let
A
B
C
ABC
A
BC
be a triangle with
A
B
=
13
AB = 13
A
B
=
13
,
B
C
=
14
BC = 14
BC
=
14
, and
A
C
=
15
AC = 15
A
C
=
15
. Let
D
D
D
and
E
E
E
be the feet of the altitudes from
A
A
A
and
B
B
B
, respectively. Find the circumference of the circumcircle of
△
C
D
E
\vartriangle CDE
△
C
D
E
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