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If vertices B and C of an equilateral tr...

If vertices `B and C` of an equilateral triangle `ABC` lie on the line `x+y=2,` such that coordinaters of `B and C are (sqrt(2)-1/(sqrt(2)) -+sqrt(a), 2-1/(sqrt(2))+-sqrt(a))` and `DeltaABC` is `G(sqrt2,2),` then `{a}` equals (where `{x}` denotes fractional part of `x`)

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