17. Five marks exercise problem IV

In figure, \(O\) is the centre of the circle with radius \(5 \ cm\). \(T\) is a point such that \(OT = 13 \ cm\) and \(OT\) intersects the circle \(E\), if \(AB\) is the tangent to the circle at \(E\), find the length of \(AB\).

 

Answer:

 

The length of \(AB\) \(=\) $\frac{i}{i}$ \(cm\)