This is a great activity for students to learn use The Pythagorean Theorem and to show the relationship in the measurements of each hypotenuse when creating right triangles with a one unit leg. * They begin the activity by constructing an isosceles right triangle with legs one unit long. * Additional right triangles are attached to each previous triangle resulting in a completely different right triangle. * Interestingly, however, the series of triangles will surprise them by having