document.write( "Question 466110: Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side? Explain. \n" ); document.write( "
Algebra.Com's Answer #319464 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "If two sides of a triangle have lengths a and b, then the\r\n" ); document.write( "length, c, of the third side must be between |a-b| and a+b,\r\n" ); document.write( "exclusive of each. That is \r\n" ); document.write( "\r\n" ); document.write( " |a-b| < c < a+b \r\n" ); document.write( "\r\n" ); document.write( "Therefore,\r\n" ); document.write( "\r\n" ); document.write( "If two sides of a triangle have lengths 6 and 8, then the\r\n" ); document.write( "length, c, of the third side must be between |6-8| and 6+8,\r\n" ); document.write( "exclusive of each. That is \r\n" ); document.write( "\r\n" ); document.write( " |6-8| < c < 6+8\r\n" ); document.write( "\r\n" ); document.write( " |-2| < c < 14\r\n" ); document.write( " \r\n" ); document.write( " 2 < c < 14\r\n" ); document.write( "\r\n" ); document.write( "So the third side must be longer than 2 yet shorter than 14.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |