(C) Your students have learned that if two chords intersect within a circle, then the product of the segments of one chord is equal to the product of the segments of the other chord. That is, in the following diagram, ab = cd. Some of your more curious students want to know how that is proven. How do you do it? [Hint: Draw the dotted lines as shown in Figure 5.32, and try to get similar triangles.] R O b Figure 5.32 'S
(C) Your students have learned that if two chords intersect within a circle, then the product of the segments of one chord is equal to the product of the segments of the other chord. That is, in the following diagram, ab = cd. Some of your more curious students want to know how that is proven. How do you do it? [Hint: Draw the dotted lines as shown in Figure 5.32, and try to get similar triangles.] R O b Figure 5.32 'S
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 13PS
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Question
![(C) Your students have learned that if two chords intersect within a circle, then the product of
the segments of one chord is equal to the product of the segments of the other chord. That is,
in the following diagram, ab = cd. Some of your more curious students want to know how that
is proven. How do you do it? [Hint: Draw the dotted lines as shown in Figure 5.32, and try to
get similar triangles.]
R
O
b
Figure 5.32
'S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98b6e310-08ba-4e1d-a9bc-704b45d2ce6c%2F4673196e-3a5f-4ed4-bd4d-641a24b28100%2Fybl3rty_processed.png&w=3840&q=75)
Transcribed Image Text:(C) Your students have learned that if two chords intersect within a circle, then the product of
the segments of one chord is equal to the product of the segments of the other chord. That is,
in the following diagram, ab = cd. Some of your more curious students want to know how that
is proven. How do you do it? [Hint: Draw the dotted lines as shown in Figure 5.32, and try to
get similar triangles.]
R
O
b
Figure 5.32
'S
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