Pythagorean theorem

This course is a part of Geometry (all content), a 17-course Topic series from Khan Academy.

The Pythagorean theorem describes a special relationship between the sides of a right triangle. Even the ancients knew of this relationship. In this topic, we’ll figure out how to use the Pythagorean theorem and prove why it works.

This course contains 4 segments:

Pythagorean theorem

Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful. Common Core Standards: 8.G.B.7, 8.G.B.8

Pythagorean theorem application

Apply the Pythagorean theorem to area and perimeter, 3D figures, and real world problems.

Pythagorean theorem and distance between points

Use the Pythagorean theorem to find the distance between points on a coordinate plane and the length of diagonal lines on a coordinate plane.

Pythagorean theorem proofs

The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful. Common Core Standard: 8.G.B.6