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In the following figure, π‘‡π‘ˆΜ…Μ…Μ…Μ… is tangent to the circle at point U. Use the figure to answer the questions.

(a) Describe the relationship among the lengths of the segments formed by the secant, 𝑅𝑇̅̅̅̅, and the tangent segment, π‘‡Μ…Μ…Μ…π‘ˆΜ…. You may use words and/or an equation.

(b) Suppose 𝑅T = 16 in. and 𝑆T = 4 in. Is it possible to find the length of π‘‡π‘ˆΜ…Μ…Μ…Μ…? If so, show how to find the length. If not, explain why not.

 Feb 9, 2021
 #1
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a)  We  have the  tangent-secant theorem  that says that

 

TU^2  =   ST  ( ST + RS)  =  ST (RT)

 

b) 

 

TU^2   =  4 ( 16)

 

TU^2   =  64

 

TU  =  sqrt (64)  =  8

 

 

cool cool cool

 Feb 9, 2021

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