document.write( "Question 54112: Hello,\r
\n" ); document.write( "\n" ); document.write( " I am trying to figure out this geometric problem. Please help me. It states, In the Figure below, LJ is perpendicular-bisector of AF. What is the value of m + n. \r
\n" ); document.write( "\n" ); document.write( " The figure is a triangle with line AJF at the bottom and it has 34 for AJ and 2m +3n for JF. The bisector is LJ making a 90 degree angle. Line LA is labeled 42 and line LF is labeled 3m. I hope this helps in solving the problem.\r
\n" ); document.write( "\n" ); document.write( " I started by writing 3m = 90 and got m=30 and 2m +3n = 90 where I put 30 in place of m and solved for n which was 20. My answer is m + n = 30 + 20 =50.\r
\n" ); document.write( "\n" ); document.write( " Thank you very much for taking the time to help me with this problem; we appreciate it very much.
\n" ); document.write( "

Algebra.Com's Answer #36385 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
Hello,
\n" ); document.write( "I am trying to figure out this geometric problem. Please help me. It states, In the Figure below, LJ is perpendicular-bisector of AF. What is the value of m + n.
\n" ); document.write( "The figure is a triangle with line AJF at the bottom and it has 34 for AJ and 2m +3n for JF. The bisector is LJ making a 90 degree angle. Line LA is labeled 42 and line LF is labeled 3m. I hope this helps in solving the problem.
\n" ); document.write( "I started by writing 3m = 90 and got m=30 and 2m +3n = 90 where I put 30 in place of m and solved for n which was 20. My answer is m + n = 30 + 20 =50.
\n" ); document.write( "Thank you very much for taking the time to help me with this problem; we appreciate it very much.
\n" ); document.write( "YOU HAVE NOT GIVEN THE FIGURE..ASSUMING THE FOLLOWING
\n" ); document.write( "ALF IS A TRIANGLE WITH AF AS BASE.
\n" ); document.write( "J IS MIDPOINT OF AF AND LJ IS PERPENDICULAR TO AF.
\n" ); document.write( "AJ=34
\n" ); document.write( "JF=2M+3N
\n" ); document.write( "LJ=42
\n" ); document.write( "LF=3M
\n" ); document.write( "SINCE J IS MID POINT OF AF
\n" ); document.write( "AJ=JF
\n" ); document.write( "34 = 2M+3N..........................1
\n" ); document.write( "LJF IS RIGHT ANGLED TRIANGLE.
\n" ); document.write( "HENCE
\n" ); document.write( "LF^2=LJ^2+JF^2
\n" ); document.write( "(3M)^2=42^2+34^2=2920
\n" ); document.write( "M^2=2920/9
\n" ); document.write( "M = 18.01
\n" ); document.write( "2M+3N=34
\n" ); document.write( "3N =34 -2*18.01=-VE.....THE PROBLEM IS NOT CORRECT OR FIGURE IS NOT PROPER PLEASE GIVE THE FIGURE OR DESCRIBE THE FIGURE PROPERLY IN EVERY DETAILTO GIVE CORRECT ANSWER.
\n" ); document.write( "
\n" );