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Mathematics
Mathematics
Problem
If
a
a
a
and
b
b
b
are real numbers between 0 and 1 such that the points
(
a
,
1
)
(a, 1)
(
a
,
1
)
,
(
1
,
b
)
(1, b)
(
1
,
b
)
and
(
0
,
0
)
(0, 0)
(
0
,
0
)
form an equilateral triangle, find
a
a
a
and
b
b
b
.
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