document.write( "Question 951514: The perimeter of a triangle is 65 centimeters. The longest side is 7 centimeters longer than the shortest side. The midlength side is 4 centimeters longer than the shortest side. Find the length of the longest side. \n" ); document.write( "
Algebra.Com's Answer #581077 by macston(5194)\"\" \"About 
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a=shortest side; b=midlength side=a+4cm;c=longest side=a+7cm; p=perimeter=a+b+c=65cm
\n" ); document.write( "p=a+b+c Subistute for b and c.
\n" ); document.write( "65cm=a+(a+4cm)+(a+7cm)
\n" ); document.write( "65cm=3a+11cm Subtract 11 cm from each side.
\n" ); document.write( "54cm=3a Divide each sid by 3.
\n" ); document.write( "18cm=a
\n" ); document.write( "c=a+7cm=18cm+7cm=25cm ANSWER: The longest side is 25 cm.
\n" ); document.write( "CHECK:
\n" ); document.write( "b=a+4cm
\n" ); document.write( "b=18cm+4cm=22cm
\n" ); document.write( "p=a+b+c
\n" ); document.write( "65cm=18cm+22cm+25cm
\n" ); document.write( "65cm=65cm
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