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Learning Math Home
Patterns, Functions, and Algebra
Session 6 Part A Part B Part C Homework
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Session 6 Materials:

The Pythagorean Theorem

In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics: the Pythagorean theorem. Proof is an essential part of mathematics, and what separates it from other sciences. Mathematicians start from assumptions and definitions, then follow logical steps to draw conclusions. If the assumptions are correct and the steps are indeed logical, then the result can be trusted and used to prove further results. When a result has been proved, it becomes a theorem.

For information on required and/or optional materials for this session, see Note 1.

In This Session:

Part A:

The Pythagorean Theorem

Part B:

Proving the Pythagorean Theorem

Part C:

Applications of the Pythagorean Theorem



Learning Objectives

In this session, you will learn how to do the following:


Examine different formal proofs of the Pythagorean theorem


Examine some applications of the Pythagorean theorem, such as finding missing lengths


Learn how to derive and use the distance formula

video icon

Throughout the session you will be prompted to view short video segments. In addition to these excerpts, you may choose to watch the full-length video of this session.


Previously Introduced

New in This Session:


perpendicular bisector
right triangle
side-angle-side (SAS) congruence

Pythagorean theorem

Next > Part A: The Pythagorean Theorem

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