Ch 41: The Pythagorean Theorem & Trigonometry

About This Chapter

Brush-up on the Pythagorean theorem and trigonometry using this chapter. As you go through this chapter's short video lessons, you can track your progress with our dashboard feature.

The Pythagorean Theorem & Trigonometry - Chapter Summary

Review the lessons in this chapter to develop a more concrete understanding of the Pythagorean theorem and trigonometry. Throughout the chapter, our instructors will explain the most essential information about this topic. These lessons include topics such as:

  • Uses of the Pythagorean theorem
  • Special cases of the Pythagorean theorem
  • Finding triangle side lengths using the theorem
  • Functional problems involving Pythagoras' theorem
  • Sines, cosines and tangents
  • Trigonometric ratios and similarity

The lessons in this chapter will prepare you to solve problems using the Pythagorean theorem and trigonometry. Each lesson comes with a full written transcript. Test what you've learned with our interactive quizzes, and if you have any questions, contact our expert instructors.

8 Lessons in Chapter 41: The Pythagorean Theorem & Trigonometry
Test your knowledge with a 30-question chapter practice test
The Pythagorean Theorem: Practice and Application

1. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

The Pythagorean Theorem: Converse and Special Cases

2. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem

3. How to Find the Hypotenuse of a Right Triangle Using the Pythagorean Theorem

After watching this video lesson, you will be able to use the Pythagorean Theorem and its resultant formula to help you find the length of the hypotenuse of a right triangle when you know the measurements of the triangle's two other sides.

How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem

4. How to Find Shorter Sides on a Right Triangle Using the Pythagorean Theorem

Sure, the Pythagorean Theorem is useful for finding the hypotenuse of a right triangle, but what about the other sides? As this lesson shows, it's just a matter of flipping the formula.

How to Solve Functional Problems Involving the Pythagorean Theorem

5. How to Solve Functional Problems Involving the Pythagorean Theorem

One of the most useful aspects of studying triangles is the Pythagorean Theorem. In this lesson, we use it to find the unknown length of a side of a triangle, whether it is a shorter side or the hypotenuse.

Trigonometry and the Pythagorean Theorem

6. Trigonometry and the Pythagorean Theorem

Explore how the Pythagorean Theorem can be used in conjunction with trigonometric functions. In this lesson, take an inverse trigonometric function, and define all three sides of a right triangle.

Trigonometric Ratios and Similarity

7. Trigonometric Ratios and Similarity

Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.

Practice Finding the Trigonometric Ratios

8. Practice Finding the Trigonometric Ratios

So you know what sine, cosine and tangent are. Great! But how do you use them? Find out how in this lesson as we find missing sides and angles using trigonometric ratios.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the MTLE Middle Level Mathematics: Practice & Study Guide course

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