By selecting certain special triangles, students can learn about the laws of sines and cosines without wrestling with long decimal representations or irrational numbers. Since the law of cosines requires only one of the three angles of a triangle, there are many examples of triangles with integral sides and a cosine that can be represented exactly by a value that is only a one or two place decimal. The law of sines involves at least two angles of a triangle, and integer-sided triangles that have two angles with sines represented by one or two decimal places are rare, but the authors found several. These examples can help students better understand these trigonometric laws. (Contains 5 tables and 1 figure.)