# Line Segment Distance

• Jul 15th 2008, 01:38 PM
furnis1
Line Segment Distance
Hey guys. I am having extreme dificulty on this question. I am wondering if anyone knows how to go about this, seems some what too difficult for me:

"IF we have two points 'A' and 'B' which are on opposite sides of a straight line 'M'. Locate a point 'X' on 'M' where the difference betwween |AX| and |BX| is a maximum."
• Jul 15th 2008, 02:17 PM
masters
Furnis1,

Do not double post. Stay with the one in Urgent Homework Help and keep it active until you're satisfied with the responses.

Thanks
• Jul 16th 2008, 07:52 PM
pankaj
Quote:

Originally Posted by furnis1
Hey guys. I am having extreme dificulty on this question. I am wondering if anyone knows how to go about this, seems some what too difficult for me:

"IF we have two points 'A' and 'B' which are on opposite sides of a straight line 'M'. Locate a point 'X' on 'M' where the difference betwween |AX| and |BX| is a maximum."

Simple.Point X will be point of intersection of AB and the given line.
Consider triangle inequality
||AX|-|BX||<=|AB
Equality occurs when A,X,B are collinear