In the figure, TU is tangent to circle at point U.

Question

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5659

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a) Describe the relationship among the lengths of the segments formed by the secant RTand the tangent segment TU.

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

Guest Mar 22, 2017

CPhill · Answer 1 · 2017-03-22T06:51:50

a) The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU.

b) RT * ST = TU^2

9 * 4 = TU^2

36 = TU^2 take the square root of both sides

6 = TU