SOLUTION: Ok so i'm having trouble with a "walk around problem" in geometry its a triangle in between three circles circles A, B, C are tangent AB=7 BC=10 CA= 11 what is the radius of circl

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Question 444149: Ok so i'm having trouble with a "walk around problem" in geometry its a triangle in between three circles circles A, B, C are tangent AB=7 BC=10 CA= 11
what is the radius of circle A, and which circle is largest??
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Upon drawing the diagram, you will see that





where is the radius of circle A. Using any method to solve the system (preferably adding all three equations to find the sum of the radii), we obtain




Hence, the radius of circle C is largest.