<PRE><B>Question 763342</B>
three circles are tangent externally.the distances between their centers are 23 inches,25 inches,20 inches.find their radii.
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let x=radius of 1st circle
let y=radius of 2nd circle
let z=radius of 3rd circle
..
x+y=25
y+z=23
x+z=20
..
x+y=25
z+y=23
subtract
x-z=2
x+z=20
add
2x=22
x=11
y=25-x=14
z=20-x=9
radius of 1st circle=11 inches
radius of 2nd circle=14 inches
radius of 3rd circle=9 inches
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