document.write( "Question 617897: Draw two different isosceles triangles with perimeter 4a + b \n" ); document.write( "
Algebra.Com's Answer #388619 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Draw two isosceles triangles and label them:\r\n" );
document.write( "\r\n" );
document.write( " Leg 1   +    Leg 2   +    Base   =  Perimeter \r\n" );
document.write( "\r\n" );
document.write( "  2a     +     2a     +     b     =   4a + b\r\n" );
document.write( "\r\n" );
document.write( "  b/2    +    b/2     +    4a     =   4a + b\r\n" );
document.write( "\r\n" );
document.write( "In the first case 4a must be greater than b, by the\r\n" );
document.write( "triangle inequality.\r\n" );
document.write( "\r\n" );
document.write( "In the second case, b must be greater than 4a. by the\r\n" );
document.write( "triangle inequality\r\n" );
document.write( "\r\n" );
document.write( "Do not give this as an answer:  \r\n" );
document.write( "\r\n" );
document.write( "   a     +    a    +   2a + b  =   4a + b\r\n" );
document.write( "\r\n" );
document.write( "because it does not satisfy the triangle inequality.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );