SOLUTION: Circles A, B, and C are externally tangent to each other. AB= 10 cm, BC= 12cm, and CA=16. Find the measures of the radii of circles A, B, and C. C>A>B

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Question 287987: Circles A, B, and C are externally tangent to each other. AB= 10 cm, BC= 12cm, and CA=16. Find the measures of the radii of circles A, B, and C.
C>A>B
Answer by Alan3354(69443) About Me  (Show Source):
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Circles A, B, and C are externally tangent to each other. AB= 10 cm, BC= 12cm, and CA=16. Find the measures of the radii of circles A, B, and C.
C>A>B
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A + B = 10 --> B = -A + 10
B + C = 12
A + C = 16
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Sub for B in 2nd eqn
-A + C = 2
A + C = 16
------------ Add
2C = 18
C = 9
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A = 7
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B = 3