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7. (12 pts) This is a pretty problem. Below is given a tangent line to three circles (at points A, B, and C respectively), where each circle is also kissing the other two. If the radius of the smallest circle is r, and the radii of the other two circles are r₁ and r2, derive the following fabulous equation: 1 = 1 + 1 A B C

7. (12 pts) This is a pretty problem. Below is given a tangent line to three circles (at points A, B, and C respectively), where each circle is also kissing the other two. If the radius of the smallest circle is r, and the radii of the other two circles are r₁ and r2, derive the following fabulous equation: 1 = 1 + 1 A B C

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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7. (12 pts) This is a pretty problem. Below is given a tangent line to three circles (at points A, B, and C respectively), where each circle is also kissing the other two. If the radius of the smallest circle is r, and the radii of the other two circles are r₁ and r2, derive the following fabulous equation: 1 = 1 + 1 A B C
Transcribed Image Text:7. (12 pts) This is a pretty problem. Below is given a tangent line to three circles (at points A, B, and C respectively), where each circle is also kissing the other two. If the radius of the smallest circle is r, and the radii of the other two circles are r₁ and r2, derive the following fabulous equation: 1 = 1 + 1 A B C
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