Prove the equal tangent theorem: Let P be a point outside a circle C. Let A be a point on C such that PA is tangent to C. Let B be the other such point on C. Then PA = PB. (You may assume that the angle between a radius of a circle and the tangent to the circle at the end-point of the radius is a right angle.)

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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4. Prove the equal tangent theorem: Let P be a point outside a circle C. Let A be a
point on C such that PA is tangent to C. Let B be the other such point on C.
Then PA= PB. (You may assume that the angle between a radius of a circle and
the tangent to the circle at the end-point of the radius is a right angle.)
Transcribed Image Text:4. Prove the equal tangent theorem: Let P be a point outside a circle C. Let A be a point on C such that PA is tangent to C. Let B be the other such point on C. Then PA= PB. (You may assume that the angle between a radius of a circle and the tangent to the circle at the end-point of the radius is a right angle.)
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