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The diagram shows the curve \(y = ( x - 1 ) ^ { \frac { 1 } { 2 } }\) and points \(A ( 1,0 )\) and \(B ( 5,2 )\) lying on the curve.
- Find the equation of the line \(A B\), giving your answer in the form \(y = m x + c\).
- Find, showing all necessary working, the equation of the tangent to the curve which is parallel to \(A B\).
- Find the perpendicular distance between the line \(A B\) and the tangent parallel to \(A B\). Give your answer correct to 2 decimal places.