I think you’ve to think about the x:x:x\sqrt{2} property . Try to draw the information given first!

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AB/AC = tan(C) = root(2)

Angle BCA will be 60, when AB/AC = tan(C) = root(3) —> (tan(60) = root(3))

Since, AB/AC is less than root(2), therefore Angle BCA is less than 60.

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