From an external point P, two tangents PA and PB are drawn to a circle, touching at A and B. If PA = 12 cm, find PB.
12 cm
By the theorem on tangents from an external point, the two tangent segments drawn from the same external point to a circle are always equal in length.
Here, PA and PB are tangents drawn from the same external point P, touching the circle at A and B respectively.
Therefore \(PB = PA = 12\text{ cm}\), using only the given value of PA from the figure.
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