document.write( "Question 85916: 2). a triangle has a perimeter of 69 inches. the second side is 7 inches longer than the first side. the third side is 6 inches shorter than twice the length of the first side. find the length of each side. \n" ); document.write( "
Algebra.Com's Answer #62077 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! Question:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " a triangle has a perimeter of 69 inches. the second side is 7 inches longer than the first side. the third side is 6 inches shorter than twice the length of the first side. find the length of each side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer;\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Assume that the first side = x inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The the second side is = (x+7) inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The third side = 2x - 6 inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter = total length of its sides = 69 inches\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is sum of three sides will give the perimeter....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x + x + 7 + 2x - 6 = 69\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now collect the x terms together.....\r \n" ); document.write( "\n" ); document.write( "==> x+ x+ 2x + 7 - 6 = 69\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 4x + 1 = 69\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 1 from both sides.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 4x + 1 - 1 = 69 -1\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> 4x = 68\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = 17\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is length of the first side = 17 inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So second side = x + 7 = 17 + 7 = 24 inches.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Third side = 2x - 6 = 2*17 - 6 = 34 - 6 =28 inches\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Regards.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |