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2005 JHMT
8
2005 JHMT Geometry #8
2005 JHMT Geometry #8
Source:
August 31, 2023
geometry
Problem Statement
The square
D
E
A
F
DEAF
D
E
A
F
is constructed inside the
3
0
o
−
6
0
o
−
9
0
o
30^o-60^o-90^o
3
0
o
−
6
0
o
−
9
0
o
triangle
A
B
C
ABC
A
BC
, with the hypotenuse
B
C
=
4
BC = 4
BC
=
4
,
D
D
D
on side
B
C
BC
BC
, E on side
A
C
AC
A
C
, and F on side
A
B
AB
A
B
. What is the side length of the square?
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