I need help with my homework
Sorry for my english at first.
There is a cube with points ABCDEFGH
and AE, BF, CG and DH are its edges.
Also |BJ|=|CJ|=|BC|/2
Line m goes through H and J.
Line k goes through A and E.
Line l goes through F and G.
Line n goes through C and D.
How many lines exist, which are equaly distanted from lines k , l and n and are pararell to line m.
Please help me!
Thank you in advance
I wanted to say that this new red line which is pararell to HJ has to be equally distanced from both line k, from line l and from line n.
That means:
Distance beetween new line and line k equals x
Distance beetween new line and line l equals x
Distance beetween new line and line n equals x
The main question is: how many such described lines exist?
What do you think about it?