The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? (HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.) B

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 38E: The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle...
Question
The center of a circle of radius 3 inches is at a distance of
20 inches from the center of a circle of radius 9 inches.
What is the exact length of common internal tangent AB?
(HINT: Use similar triangles to find OD and DP. Then
apply the Pythagorean Theorem twice.)
B
Transcribed Image Text:The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? (HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.) B
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