document.write( "Question 1025645: A triangle has a perimeter of 42m. The longest side is 2m less than the sum of the other 2 sides and 4 times the shortest side is 32m more than the difference between the 2 longer sides. What are the lengths of the 3 sides of the triangle? \n" ); document.write( "

Algebra.Com's Answer #640929 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"A%2BB%2BC=42\"$
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\n" ); document.write( " $\"C=%28A%2BB%29-2\"$
\n" ); document.write( "2. $\"A%2BB-C=2\"$
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\n" ); document.write( " $\"4A=32%2B%28C-B%29\"$
\n" ); document.write( "3. $\"4A%2BB-C=32\"$
\n" ); document.write( "Add 1 and 2,
\n" ); document.write( " $\"A%2BB%2BC%2BA%2BB-C=42%2B2\"$
\n" ); document.write( " $\"2A%2B2B=44\"$
\n" ); document.write( "3. $\"A%2BB=22\"$
\n" ); document.write( "Add 1 and 3,
\n" ); document.write( " $\"A%2BB%2BC%2B4A%2BB-C=42%2B32\"$
\n" ); document.write( "4. $\"5A%2B2B=74\"$
\n" ); document.write( "Multiply 3 by 2 and subtract from 4,
\n" ); document.write( " $\"5A%2B2B-2A-2B=74-44\"$
\n" ); document.write( " $\"3A=30\"$
\n" ); document.write( " $\"A=10\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"10%2BB=22\"$
\n" ); document.write( " $\"B=12\"$
\n" ); document.write( "and finally,
\n" ); document.write( " $\"10%2B12%2BC=42\"$
\n" ); document.write( " $\"C=20\"$
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