Two chords (segments) AB and CD of a circle do not intersect but lines AB and CD intersect at point P. (a) Given: PA = 3, PB = 10, PC = 4. What is PD = ? (b) Given: PA = 3, PB = 10, CD = 2. What is PC = ? and PD = ? (assume that PC < PD) Note: Include picture of the circles and label given lengths of segments.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 11E
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Two chords (segments) AB and CD of a circle do not intersect but lines AB and CD intersect at point P.

(a) Given: PA = 3, PB = 10, PC = 4. What is PD = ?

(b) Given: PA = 3, PB = 10, CD = 2. What is PC = ? and PD = ? (assume that PC < PD)

Note: Include picture of the circles and label given lengths of segments.

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