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15
2015 Guts #15
2015 Guts #15
Source:
July 28, 2022
2015
Guts Test
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a regular tetrahedron of side length
12
12
12
. Select points
E
,
F
,
G
,
H
E,F,G,H
E
,
F
,
G
,
H
on
A
C
,
B
C
,
B
D
,
A
D
AC,BC,BD,AD
A
C
,
BC
,
B
D
,
A
D
, respectively, such that
A
E
=
B
F
=
B
G
=
A
H
=
3
AE=BF=BG=AH=3
A
E
=
BF
=
BG
=
A
H
=
3
. Compute the area of quadrilateral
E
F
G
H
EFGH
EFG
H
.
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