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Searching for ## Angles and the Pythagorean Theorem

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Algebra Foundations

You will examine the relationship between the side lengths of a right triangle to understand the proof of the Pythagorean Theorem.

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After completing this tutorial, you will be able to complete the following:

- Verify the Pythagorean Theorem using a variety of methods.
- Explain the Pythagorean Theorem using a variety of methods.

A great deal of background information is provided for students throughout this Activity Object; however, there is some additional information that can be frontloaded so that students have a framework for the new information.

It is recommended that this Activity Object be explored after students are already familiar with triangles. If this is not possible, it will be necessary to review the following information to provide enough background for students to master the learner outcomes.

1. Basic concepts of triangles:

All triangles have three sides and three angles or vertices.

A triangle can be labeled using its vertices or its sides.

Approximate Time | 20 Minutes |

Pre-requisite Concepts | Learners should be familiar with the area of squares, basic concepts about triangle, and rectangles. |

Course | Algebra Foundations |

Type of Tutorial | Visual Proof |

Key Vocabulary | hypotenuse, Pythagoras, right triangle |