Geometry
# Tangent and Secant Lines

**Note:** The above diagram is not drawn to scale.

**Note:** The above diagram is not drawn to scale.

**Note:** The above diagram is not drawn to scale.

In the above figure, \(A, B\) and \(T\) are three points lying on a circle. If \(\overline{PT}\) is a tangent line of the circle and \[\lvert\overline{AB}\rvert=7 \text{ and }\lvert\overline{PT}\rvert=12,\] where \(\lvert\overline{AB}\rvert\) denotes the length of \(\overline{AB},\) what is \(\lvert\overline{PA}\rvert ?\)

**Note:** The above diagram is not drawn to scale.

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