document.write( "Question 327985: if the perimeter of the triangle ABC equals 12cm , m(\n" ); document.write( "

Algebra.Com's Answer #234879 by Fombitz(32388) $\"\"$ $\"About$

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Since $\"A%2BB=100\"$ then $\"C=80\"$
\n" ); document.write( "since $\"A%2BB%2BC=180\"$
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\n" ); document.write( "From the law of sines,
\n" ); document.write( " $\"BC%2Fsin%28A%29=AC%2Fsin%28B%29=AB%2Fsin%28C%29\"$
\n" ); document.write( " $\"BC%2Fsin%2847%29=AC%2Fsin%2853%29=AB%2Fsin%2880%29\"$
\n" ); document.write( "From the perimeter,
\n" ); document.write( " $\"AB%2BBC%2BAC=12\"$
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\n" ); document.write( "From the law of sines equation,
\n" ); document.write( " $\"BC=AB%2A%28sin%2847%29%2Fsin%2880%29%29\"$
\n" ); document.write( " $\"AC=AB%2A%28sin%2852%29%2Fsin%2880%29%29\"$
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\n" ); document.write( "Substituting into the perimeter equation,
\n" ); document.write( " $\"AB%2BAB%28sin%2847%29%2Fsin%2880%29%29%2BAB%28sin%2853%29%2Fsin%2880%29%29=12\"$
\n" ); document.write( " $\"AB%2A%281%2Bsin%2847%29%2Fsin%2880%29%2Bsin%2853%29%2Fsin%2880%29%29=12\"$
\n" ); document.write( " $\"AB%281%2B0.7426%2B0.8110%29=12\"$
\n" ); document.write( " $\"AB=12%2F2.554\"$
\n" ); document.write( " $\"AB=4.699\"$
\n" ); document.write( "To the nearest cm,
\n" ); document.write( " $\"AB=5\"$ cm
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