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their would be still 2 diagonal lines * * * * * There are 8*(8-3)/2 = 8*5/2 = 20 lines joining two vertices. That being the conventional definition of a diagonal, there are 20 diagonals.
two diagonal lines that aren't touching
The sides of the triangle will always meet at angles such that two of them will appear 'diagonal'. But these are not defined as diagonal lines. There are actually no diagonals intersecting any triangle. Try drawing one and connecting the vertices - it doesn't work and you simply end up tracing over the lines that define the triangle.
There are no straight lines in the letter "W" because it is made up of two diagonal lines intersecting at a point.