In the following figure, 𝑇𝑈̅̅̅̅ 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, 𝑇̅̅̅𝑈̅. 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 𝑇𝑈̅̅̅̅? If so, show how to find the length. If not, explain why not.