Question 1152220:  Three circles, A, B, and C on a straight line. 
Radius of circle A is 4cm 
Radius of circle B is 8 cm 
Radius of circle C is 4 cm 
Work out the length of the line X in cm which stretches from the edge of circle A on the left to the edge of circle C on the right. Give your answer in the form: 
a+bsqrt(2)
 
000 Circles ABC 
___ Xcm
 
Many thanks 
Joseph 
 Answer by Alan3354(69443)      (Show Source): 
You can  put this solution on YOUR website! Three circles, A, B, and C on a straight line. 
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If you mean: 
Three circles, A, B, and C are tangent to a straight line and each other. 
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Radius of circle A is 4 cm 
Radius of circle B is 8 cm 
Radius of circle C is 4 cm 
Work out the length of the line X in cm which stretches from the edge of circle A on the left to the edge of circle C on the right. 
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The "edge of a circle" is nonsensical. 
Line X is not shown or defined. 
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It's the distance between the centers of circles A & C. 
Draw the circles tangent to the x-axis. 
Label the centers A, B & C 
AB = BC = 12 cm 
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The distance from B to line AC is 4 cm 
The distance from A to the midpoint on AC sqrt(12^2 - 4^2) = sqrt(128) 
  
 
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