document.write( "Question 1045328: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 17 cm and a second side that is 4 cm less than twice the third side, what are the possible lengths for the second and third sides? \n" ); document.write( "
Algebra.Com's Answer #660717 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! second side is 2x-4 \n" ); document.write( "third side is x \n" ); document.write( "17+x>2x-4; -x>-21;x<21 \n" ); document.write( "17+2x-4>x;x>-13 \n" ); document.write( "x+2x-4>17;3x>21, x>7 \n" ); document.write( "x>7 and <21 \n" ); document.write( "Check 8 and 20 \n" ); document.write( "8: sides are 17,8,12: 25>12,29>8, 20<17, it works. \n" ); document.write( "20: sides are 17,20,36;17+20>36;17+36>20; 20+36>17, it works. \n" ); document.write( "Try 6. It should not work \n" ); document.write( "17,6,8: 6+8 is not >17 \n" ); document.write( "7 \n" ); document.write( "Possible lengths would include 8 and 12; 20 and 36 \n" ); document.write( " |