document.write( "Question 176650: If a circle is inscribed in a triangle with sides 12, 12, and 8, what is the radius of the circle? \n" ); document.write( "

Algebra.Com's Answer #131872 by Mathtut(3670) $\"\"$ $\"About$

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$\"r=sqrt%28k%28k-a%29%28k-b%29%28k-c%29%29%2Fk\"$
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\n" ); document.write( "where $\"k+=%281%2F2%29%28a%2Bb%2Bc%29\"$ and a,b,and c are the lengths of the sides
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\n" ); document.write( " $\"k=%281%2F2%29%2812%2B12%2B8%29=16\"$
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\n" ); document.write( " $\"r=sqrt%28%2816%29%2816-12%29%2816-12%29%2816-8%29%29%2F16\"$
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\n" ); document.write( " $\"r=4sqrt%28%284%29%284%29%288%29%29%2F16\"$
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\n" ); document.write( " $\"r=4sqrt%28%2864%29%282%29%29%2F16\"$
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\n" ); document.write( " $\"r=32sqrt%282%29%2F16\"$
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\n" ); document.write( " $\"r=2sqrt%282%29\"$ \n" ); document.write( "

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