This article surveys some of the more aesthetically appealing and useful formulas relating distances, areas, and angles in triangles and tetrahedra. For example, a somewhat neglected trigonometric identity involving only the cosines of a triangle is an instance of the famous Cayley cubic surface. While most of these formulas are well known, some novel identities also make an appearance.
|Original language||English (US)|
|Number of pages||5|
|Journal||American Mathematical Monthly|
|State||Published - Dec 2014|