The Pythagorean Theorem is a fantastically important theorem in mathematics. Students studying math should spend enough time with it to thoroughly understand it. Many times we study a subject and get lost in the details. We see a lot of different aspects to something but don’t get a sense for the things that are worth our time to study and cogitate about. The Pythagorean theorem is so useful in continuing in mathematics not only for geometric shapes, but also for velocities, physics,.