document.write( "Question 1062653: The longest side of the triangle is thrice the length of the shortest side.The medium-sized side is 4cm less than the longest side.The perimeter of the triangle is 31cm.how long is the longest side? \n" ); document.write( "
Algebra.Com's Answer #677609 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let a = smallest side. \n" ); document.write( "let b = medium side \n" ); document.write( "let c = largest side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b + c = 31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = 3a \n" ); document.write( "b = c - 4 = 3a - 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a+ b + c = 31 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + (3a - 4) + 3a = 31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify and combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7a - 4 = 31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 4 to both sides to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7a = 35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for a to get a = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 5 \n" ); document.write( "c = 15 \n" ); document.write( "b = 11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b + c = 31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "largest side is 15 cm.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |