\(TP\) and \(TQ\) are two tangents from the point \(T\) to the circle having its centre at \(O\). \(AB\) is another tangent touching the circle externally at \(E\) intersecting \(TP\) at \(A\) and \(TO\) at \(Q\). If the radius of the circle is 18 \(cm\) and the length of \(OT\) passing through \(E\) is 30 \(cm\), calculate the length of \(AB\).
Solution:
Length of the tangent \(TP\) \(=\) \(cm\)
Length of the tangent \(AB\) \(=\) \(cm\)