uppose RT = 16 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Suppose RT = 16 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.
In the londwing ngo
T
R
(a) Describe the relationship among the lengths of the segments fori
tangent segment, TU. You may use words and/or an equation.
(b) Suppose RT = 16 in. and ST = 4 in. Is it possible to find the leng
length. If not, explain why not.
A. The length of the secant RT times its external segment ST, equa
segment TU.
Mathematically it can be written as RT x ST = (TU)2
B. RT = 9 in. and ST = 4 in. It is possible to find the value length TU ar
Intersecting Secant-Tangent Theorem as RT x ST = (TU)2
(TU)2 = 9x4 = 36
TU = 30
So the length of TU 6 inchesC
Transcribed Image Text:In the londwing ngo T R (a) Describe the relationship among the lengths of the segments fori tangent segment, TU. You may use words and/or an equation. (b) Suppose RT = 16 in. and ST = 4 in. Is it possible to find the leng length. If not, explain why not. A. The length of the secant RT times its external segment ST, equa segment TU. Mathematically it can be written as RT x ST = (TU)2 B. RT = 9 in. and ST = 4 in. It is possible to find the value length TU ar Intersecting Secant-Tangent Theorem as RT x ST = (TU)2 (TU)2 = 9x4 = 36 TU = 30 So the length of TU 6 inchesC
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