document.write( "Question 158102This question is from textbook algebra and trigonometry structure and method book 2
\n" ); document.write( ": the problem is....
\n" ); document.write( "the lengths of the legs of an isosceles triangle are integers. the base is half as long as each leg. what are the possible lengths of the legs if the perimeter is between 6 and 16 units? \n" ); document.write( "
Algebra.Com's Answer #116518 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
the problem is....
\n" ); document.write( "the lengths of the legs of an isosceles triangle are integers. the base is half as long as each leg. what are the possible lengths of the legs if the perimeter is between 6 and 16 units?
\n" ); document.write( "
\r\n" );
document.write( "Let the lengths of the legs be \"N\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"Perimeter+=+P\"\r\n" );
document.write( "\r\n" );
document.write( "\"P+=+N%2BN%2BN%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "the perimeter is between 6 and 16 units\r\n" );
document.write( "\r\n" );
document.write( "\"6%3CP%3C16\"\r\n" );
document.write( "\r\n" );
document.write( "\"6%3CN%2BN%2BN%2F2%3C16\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply all three side by 2\r\n" );
document.write( "\r\n" );
document.write( "\"2%286%29%3C2%28N%2BN%2BN%2F2%29%3C2%2816%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"12%3C2N%2B2N%2BN%3C32\"\r\n" );
document.write( "\r\n" );
document.write( "\"12%3C5N%3C32\"\r\n" );
document.write( "\r\n" );
document.write( "Divide all three sides by 5:\r\n" );
document.write( "\r\n" );
document.write( "\"12%2F5%3C%285N%29%2F5%3C32%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "\"2.4%3CN%3C6.4\"\r\n" );
document.write( "\r\n" );
document.write( "The only integers \"N\" between 2.4 and 6.4, for\r\n" );
document.write( "the legs are \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We aren't told that the base has to be an integer, \r\n" );
document.write( "too. If it had to be an integer too we would have to \r\n" );
document.write( "discard the odd integers for the legs.  But since we \r\n" );
document.write( "are not told that the base must be an integer, too,\r\n" );
document.write( "we will stick with the above answer.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );