Chapter 14: Triangles

Most geometric questions can be reduced somehow to considerations of triangles. We might be asking about angles or lengths of line segments or areas of certain shapes; most anything can be chopped up into triangles in some way. Considering this, it isn’t surprising to note that there are a lot of different kinds of fairly elementary questions we can ask about just triangles themselves. Here are some interesting ones. We have chosen these because they each have some special characteristic to separate them from the pack. You might find these a bit more challenging than the problems in other chapters, but that should make it all the more satisfying, when you get the solutions!…