Isn't the whole point of a 345 triangle that it is devoid of the need for specific units of linear measurement? They could be in Millimeters or Cables (tenth of a nm) and still give the correct ratios for Mr Pythagoras's wonderful triangle.
Just wait until some brown job artillery wallah comes along and tries to convince you that Mils are better than Deg, Min, Sec of arc. You will then get the tedious explanation about a Metre being one ten-millionth of the meridion that passes through somewhere called Paris and how easy it is to pace it out on an OS map or NATO JOG chart. He (or possibly she these days) should be told that metres are too bloody small for anything horizontal and too big for anything vertical.