Secants PB¯¯¯¯¯ and PD¯¯¯¯¯ intersect the circle at A and C, respectively.

BA = 5, AP = 4 and DP = 12.

What is the length of PC¯¯¯¯¯?

Question

Secants PB¯¯¯¯¯ and PD¯¯¯¯¯ intersect the circle at A and C, respectively.   BA = 5, AP = 4 and DP = 12.   What is the length of PC¯¯¯¯¯?

Thunguyet · Answer

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.       Learn more about this  concept  here :    https://brainly.com/question/16051112        #SPJ1

What is tangent- secant theory?

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