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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |