SOLUTION: Two circles touch externally with their radius being 25 and 9 cm. A common tangent is drawn.another circle touching both the circles and the tangent is drawn.what is the radius of
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Question 975649: Two circles touch externally with their radius being 25 and 9 cm. A common tangent is drawn.another circle touching both the circles and the tangent is drawn.what is the radius of that small circle Answer by Edwin McCravy(20055) (Show Source):
The formula for this problem is derived on this website:
analyzemath.com/Geometry/challenge/three_circles_problem.html
It is:
where c = the small circle's radius, and a and b are the radii of the
other two circles, in this case 25 and 9.
Edwin