document.write( "Question 1164096: Triangle ABC is an equilateral triangle of dimension (3x-2y),(x+6y) and2(2x-3y).find the perimeter of the triangle \n" ); document.write( "
Algebra.Com's Answer #788501 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
 \r\n" );
document.write( "(3x-2y) = (x+6y) = 2(2x-3y)\r\n" );
document.write( "\r\n" );
document.write( "          (3x-2y) = (x+6y) = 2(2x-3y)     \r\n" );
document.write( "\r\n" );
document.write( "Set the first and second sides equal\r\n" );
document.write( "\r\n" );
document.write( "3x-2y = x+6y\r\n" );
document.write( "   2x = 8y\r\n" );
document.write( "    x = 4y \r\n" );
document.write( "\r\n" );
document.write( "Set the first and third side equal\r\n" );
document.write( "\r\n" );
document.write( "3x - 2y = 2(2x-3y)\r\n" );
document.write( "3x - 2y = 4x - 6y\r\n" );
document.write( "4y - x = 0\r\n" );
document.write( "    4y = x\r\n" );
document.write( "\r\n" );
document.write( "that the same thing\r\n" );
document.write( "\r\n" );
document.write( "Set the second and third sides equal\r\n" );
document.write( "\r\n" );
document.write( "x+6y = 2(2x-3y)\r\n" );
document.write( "x+6y = 4x - 6y\r\n" );
document.write( "12y - 3x = 0\r\n" );
document.write( "Divide through by 3\r\n" );
document.write( "  4y - x = 0\r\n" );
document.write( "      4y = x\r\n" );
document.write( "\r\n" );
document.write( "So there is not enough information given to determine\r\n" );
document.write( "x or y, so there are infinitely many solutions. \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );