document.write( "Question 940670: Two sides of a triangle have lengths 7 and 14. Which expression describes the length of the third side? I know the answer is greater than 7 and less than 21, but I cannot figure out how to get that answer. Please help as soon as possible. \n" ); document.write( "
Algebra.Com's Answer #573279 by richard1234(7193) You can put this solution on YOUR website! Let x be the third side. Then\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+7 > 14 \n" ); document.write( "7+14 > x \n" ); document.write( "14+x > 7 (this is obviously true so ignore it)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first two inequalities are equivalent to x > 7 and x < 21.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In general, if a and b are two sides of a triangle, with a <= b, then the third side c is in the range (b-a, b+a). \n" ); document.write( " |