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MBMT Team Rounds
2015 F12 E10
2015 F12 E10
Part of
MBMT Team Rounds
Problems
(1)
MBMT Team -- Fermat #12/Euler #10
Source:
3/29/2015
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 midpoints of
B
C
BC
BC
and
A
B
AB
A
B
, respectively. If
A
D
AD
A
D
and
C
E
CE
CE
intersect at
G
G
G
, compute the area of quadrilateral
B
E
G
D
BEGD
BEG
D
.