document.write( "Question 427658: The lengths of the sides of a triangle are consecutive integers. Half of the perimeter is 14 more than the length of the longest side. Find the perimeter. \n" ); document.write( "
Algebra.Com's Answer #297406 by John10(297) You can put this solution on YOUR website! The lengths of the sides of a triangle are consecutive integers. Half of the perimeter is 14 more than the length of the longest side. Find the perimeter.\r \n" ); document.write( "\n" ); document.write( " ---------------------------\r \n" ); document.write( "\n" ); document.write( "Let's x, x+1, and x + 2 are the \"consecutive integer\" sides of the triangle\r \n" ); document.write( "\n" ); document.write( "Half of the perimeter is 14 more than the length of the longest side: \r \n" ); document.write( "\n" ); document.write( "P/2 = 14 + (x + 2)\r \n" ); document.write( "\n" ); document.write( "P = 28 + 2(x + 2)\r \n" ); document.write( "\n" ); document.write( "P = 28 + 2x + 4\r \n" ); document.write( "\n" ); document.write( "P = 2x + 32\r \n" ); document.write( "\n" ); document.write( "Have a great one! John10 \n" ); document.write( " |