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 In the diagram below, secants RST and RQP drawn from point R, intersect circle O at S, T, Q, and P. If RS = 6, ST = 4, and RP = 15, what is the length of RQ?

 Jun 1, 2021
 #1
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Secant-Secant  Theorem

 

We have the following relationship

 

RS ( RS + ST)  =  RQ  ( RP)

 

6 ( 6 + 4)  =  RQ  (15)

 

6 (10)  = RQ  (15)

 

60  = RQ (15)

 

60  / 15 = RQ  =  4

 

cool cool cool

 Jun 1, 2021

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