Calcea Johnson: So then what we do next is we draw a second congruent, which means they're equal in size. But then we start creating similar but smaller right triangles going in a pattern like this.

Learn about congruent and similar shapes with this BBC Bitesize Maths article. For students between the ages of 11 and 14.

Starting from any given rational-sided, right triangle, for example, the (3, 4, 5)-triangle with area 6, we use Euclidean geometry to show that there are infinitely many other rational-sided, right ...