(a) CS SA Prove that ABS ~ ACDS and calculate the ratio (b) ST|| AB. (c) calculate the length of ST. Calculate the ratio CT TB and use this to prove that Prove that ASTC~AABC and use this fact to

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 12E
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Question
In the diagram below AD is the diameter of the circle, AB is tangent
to the circle at A, CD is tangent to the circle at D, BC is tangent to
the circle at T, AB = 8 and CD = 4.
B
A
T
S
с
A
Transcribed Image Text:In the diagram below AD is the diameter of the circle, AB is tangent to the circle at A, CD is tangent to the circle at D, BC is tangent to the circle at T, AB = 8 and CD = 4. B A T S с A
(a)
CS
SA
Prove that ABS
(b)
ST||
(c)
calculate the length of ST.
AB.
Calculate the ratio
CT
TB
ACDS and calculate the ratio
and use this to prove that
Prove that ASTC~ ABC and use this fact to
Transcribed Image Text:(a) CS SA Prove that ABS (b) ST|| (c) calculate the length of ST. AB. Calculate the ratio CT TB ACDS and calculate the ratio and use this to prove that Prove that ASTC~ ABC and use this fact to
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