document.write( "Question 388452: Three circles of radii 2, 4, and 6 are tangent to each other externally. Find
\n" ); document.write( "the area of the triangle formed by connecting their centers. \n" ); document.write( "

Algebra.Com's Answer #274771 by Fombitz(32388) $\"\"$ $\"About$

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The lengths of the sides of the triangle are the sums of the respective radii.
\n" ); document.write( " $\"a=2%2B4=6\"$
\n" ); document.write( " $\"b=2%2B6=8\"$
\n" ); document.write( " $\"c=4%2B6=10\"$
\n" ); document.write( "Use Heron's formula,
\n" ); document.write( " $\"A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29\"$
\n" ); document.write( "where
\n" ); document.write( " $\"s=%28a%2Bb%2Bc%29%2F2\"$
\n" ); document.write( " $\"s=%286%2B8%2B10%29%2F2\"$
\n" ); document.write( " $\"s=12\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"A=sqrt%2812%2812-6%29%2812-8%29%2812-10%29%29\"$
\n" ); document.write( " $\"A=sqrt%2812%286%29%284%29%282%29%29\"$
\n" ); document.write( " $\"A=sqrt%28144%2A4%29\"$
\n" ); document.write( " $\"A=12%2A2\"$
\n" ); document.write( " $\"highlight%28A=24%29\"$
\n" ); document.write( " \n" ); document.write( "

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