The length of PC is 3.
What is tangent- secant theory?
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Given: BA = 5, AP = 4 and DP = 12.
PB= BA+AP= 9
Using tangent- secant theory
PA*PB= PC*PD
4*9= PC* 12
36= 12PC
PC= 36/12
PC= 3
Hence, length of PC is 3.
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