document.write( "Question 1172341: In a triangle ABC , BC=24 and angle A=60 degree . D ,M are the points on side
\n" ); document.write( "AC and E , N are the points on AB such that DN and EM are the perpendicular
\n" ); document.write( "bisectors of AC and AB respectively . If L be the mid-point of MN , then the
\n" ); document.write( "perimeter of triangle ELD is ...?? \n" ); document.write( "

Algebra.Com's Answer #797408 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
In a triangle ABC , BC=24 and angle A=60 degree . D ,M are the points on side AC and E , N are the points on AB such that DN and EM are the perpendicular bisectors of AC and AB respectively .\r
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "\n" ); document.write( "

The triangle above is an equilateral triangle with points N and B coinciding,\r\n" );
document.write( "as well as M and C.  The problem does not state that it must be this way, but\r\n" );
document.write( "considering it to be this way certainly fits the solution.  So this IS a\r\n" );
document.write( "solution.\r\n" );
document.write( "\r\n" );
document.write( "

If L be the mid-point of MN , then the perimeter of triangle ELD is ...??

We will draw triangle ELD as stated (in red):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Red triangle ELD is congruent to triangle EAD, so its perimeter is 12+12+12=36.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );