document.write( "Question 194135: The perimeter of a triangle is 75 cm. If the lengths of the sides of the triangle are consecutive odd integers, find the length of each side.
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\n" ); document.write( "thanks \n" ); document.write( "

Algebra.Com's Answer #145712 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"p\"$ = perimeter, and the sides be
\n" ); document.write( " $\"a\"$ , $\"b\"$ , and $\"c\"$
\n" ); document.write( " $\"p+=+a+%2B+b+%2B+c\"$
\n" ); document.write( "Let $\"b\"$ = $\"a+%2B+2\"$
\n" ); document.write( "Let $\"c+=+a+%2B+4\"$
\n" ); document.write( "Given:
\n" ); document.write( " $\"75+=+a+%2B+b+%2B+c\"$
\n" ); document.write( " $\"75+=+a+%2B+a+%2B+2+%2B+a+%2B+4\"$
\n" ); document.write( " $\"75+=+3a+%2B+6\"$
\n" ); document.write( " $\"3a+=+69\"$
\n" ); document.write( " $\"a+=+23\"$
\n" ); document.write( " $\"a+%2B+2+=+25\"$
\n" ); document.write( " $\"a+%2B+4+=+27\"$
\n" ); document.write( "The sides of the triangle are 23,25, and 27
\n" ); document.write( "check:
\n" ); document.write( " $\"p+=+a+%2B+b+%2B+c\"$
\n" ); document.write( " $\"75+=+23+%2B+25+%2B+27\"$
\n" ); document.write( " $\"75+=+75\"$
\n" ); document.write( "OK \n" ); document.write( "

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