I'm working on a tutorial with about a hundred half-square triangles and I just know that someone is going to scold me for the way I do them -- the same way I've been scolded in the past for cutting individual squares instead of using quick strip piecing methods.
I cut the squares because I don't want the prints falling in the same combination every time. And I do my triangles the way I do them because I think it's easier to make the half square triangle units that way.
I cut squares in half to make two triangles and sew the triangles together. For me, that's a lot faster than drawing a line from corner to corner of each square, then sewing a quarter inch on each side of the line, then cutting. (I've done it that way, too.)
Back in high school Home Ec, I made a matching blouse and skirt out of red and black plaid cotton. The teacher suggested that the square patch pockets would look nicer if I cut them on the bias. So I did. She did warn me to watch out for the stretchy edges, but they were no big deal.
After a gathered skirt with a button and zipper, and the yoke and collar and more buttons on the blouse -- not to mention matching plaids! -- those bias edges weren't that scary. Maybe that's because I'd never a bunch of warnings about bias edges.
How do you make your half square triangles? Have you tried just cutting them and sewing them together?