Answered: TC is a tangent to a circle at C and BA…

TC is a tangent to a circle at C and BA produced meets this tangent at T. Show that triangles TCA and TBC are similar and hence prove that TC? = TA x TB. %3D

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 34E: A tangent ET is constructed to circle Q from external point E. Which angle and which side of...

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Question

6. TC is a tangent to a circle at C and BA produced
meets this tangent at T.
Show that triangles TCA and TBC are similar
and hence prove that TC2 = TA x TB.
%3D

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