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In the figure, TU 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, RT, and the tangent segment, TU. You may used words and/or an equation.

(b) Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU? If so, show how to find the length. If not, explain why not.


Thanks in advance. I appreciate the help. I'm still not that good at questions like this one.

In the figure TU 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 class=

Respuesta :

jimman
(a)
[tex]rs \times st = tu {}^{2} [/tex]
(b)
yes it is possible the formula is in part a, but we're given just the side rt and st, not rs, but not to worry we can get rs with subtraction. we can do 9-4=5 for rs. now we can plug in our values to find tu
[tex]5 \times 4 = tu {}^{2} [/tex]
simplify with algebra
[tex] \sqrt{20} = tu[/tex]
FINAL ANSWER
[tex]2 \sqrt{5} = tu[/tex]


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