document.write( "Question 292549: The lengths of two sides of a triangle are 12 miles and 19 miles. Which set of lengths could represent the possible length of the third side, t?
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Algebra.Com's Answer #211277 by Fombitz(32388)![]() ![]() You can put this solution on YOUR website! Take two strips of paper. \n" ); document.write( "One 12 units long and one 19 units long. \n" ); document.write( "Connect them together at one point. \n" ); document.write( "Now you can vary the angle of that connection. \n" ); document.write( "The angle can vary from zero to 180 degrees. \n" ); document.write( "At zero, the 12 unit paper lays over the 19 unit paper. \n" ); document.write( "If the angle was just slightly non-zero, the length of the imaginary line connect the 12 and 19 unit pieces would be 7 units long. \n" ); document.write( "Now do the same at 180 degrees. \n" ); document.write( "At slightly less than 180 degrees, the length of the imaginary line would be (12+19=)31 units. \n" ); document.write( "Since in a triangle the angles must sum to 180, the actual angle must be between 0 and 180 degrees. \n" ); document.write( "So then the final length would be between 7 units and 31 units long. \n" ); document.write( " \n" ); document.write( " |