Pythagorean Theorem

The Pythagorean Theorem: the Width of a Rectangular Carpet

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Use the Pythagorean Theorem to find the width of a rectangular carpet by dividing it into right triangles and solving for an unknown side.

Special Right Triangles: 30-60-90 Triangle Example Problem

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Using what we know about 30-60-90 triangles to solve what at first seems to be a challenging problem.

Pythagorean Theorem Proof Using Similarity

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This module shows how to prove the Pythagorean Theorem using similar triangles.

The Pythagorean Theorem: Right Triangles

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Learn about the Pythagorean Theorem and how it applies to right triangles.

The Pythagorean Formula: Distance Between Lines

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How to find the distance between lines using the Pythagorean Formula

Special Right Triangles: 45-45-90 (Right Isosceles) Triangle Side Ratios

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This module explains the 45-45-90 triangle (also known as a right isosceles triangle) and its side ratios.

The Pythagorean Theorem: Introduction

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Learn about the Pythagorean Theorem and how it is used.

Another Pythagorean Theorem Proof

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This module shows you how to prove the Pythagorean Theorem visually.

Applying the Pythagorean Theorem

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In this video, learn how using the Pythagorean theorem can help people solve real-world problems involving distances. In the accompanying classroom activity, students develop their problem-solving, spatial reasoning, and geometry skills by putting the Pythagorean theorem to use. After a brief discussion about how to use the theorem to find the distance between two points on a coordinate grid, students partner up and play a game in which they generate (and then calculate the distance between) two or more points on the grid. As the game increases in complexity, students begin working in all quadrants and begin identifying multiple triangles that they can use to determine the distance between points.

Applying the Pythagorean Theorem

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In this video, watch an animated demonstration of using the Pythagorean theorem to find an unknown side of a right triangle. In the accompanying classroom activity, students solve problems in which they apply the Pythagorean theorem to find the sides of right triangles and to determine whether a set of triangle sides form a right triangle. To get the most from this lesson, students should be comfortable using a calculator to find square roots. They should also have experience solving equations involving an unknown square.

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