Triangles with side lengths (3, 4, 5) and (5, 12, 13) are right triangles because 32 + 42 = 52 and 52 + 122 = 132. How many other right triangles are there with integer sides? Visit the Triples page for your random "Triple of the Day", and learn how to generate many, many more.
A balance scale problem serves as a window to mathematical learning and some beginning combinatorics.