As shown above, a triangle is drawn with segments a, b and c with their relative angles A, B and C respectively. When a line, h, is drawn from C to a point on segment c such that the angles between h and c are both 90 degrees, \(\frac{ab}{h} = 1\).

If it is also known that \(tanA = 3\) and \(b^2+c^2-a^2 = 2\).

Find \(abc\)

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