document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #597737 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "The formula for this problem is derived on this website:\r\n" );
document.write( "\r\n" );
document.write( "analyzemath.com/Geometry/challenge/three_circles_problem.html\r\n" );
document.write( "\r\n" );
document.write( "It is:\r\n" );
document.write( "\r\n" );
document.write( "\"c\"\"%22%22=%22%22\"\"a%2Ab%2F%28sqrt+%28b%29%2B+sqrt%28a%29%29%5E2%29\"\r\n" );
document.write( "\r\n" );
document.write( "where c = the small circle's radius, and a and b are the radii of the \r\n" );
document.write( "other two circles, in this case 25 and 9.\r\n" );
document.write( "\r\n" );
document.write( "\"c\"\"%22%22=%22%22\"\"25%2A9%2F%28sqrt+%2825%29%2B+sqrt%289%29%29%5E2%29\"\"%22%22=%22%22\"\"225%2F%285%2B3%29%5E2\"\"%22%22=%22%22\"\"225%2F8%5E2\"\"%22%22=%22%22\"\"225%2F64\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );