In the following figure, ππΜ 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, π πΜ Μ Μ Μ , and the tangent segment, πΜ Μ Μ πΜ . You may use words and/or an equation.

(b) Suppose π T = 16 in. and πT = 4 in. Is it possible to find the length of ππΜ Μ Μ Μ ? If so, show how to find the length. If not, explain why not.

Guest Feb 9, 2021