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(1)
MBMT Team -- Fermat #14
Source:
3/29/2015
Let
A
B
C
D
ABCD
A
BC
D
be a square with side length
1
1
1
. If point
E
E
E
is on
B
C
BC
BC
, point
F
F
F
is on
D
C
DC
D
C
, and triangle
A
E
F
AEF
A
EF
is equilateral, compute the side length of triangle
A
E
F
AEF
A
EF
. (Note: if your answer has a square root inside a square root, you have not fully simplified your answer.)