Ch 45: MEGA Middle School Math: The Pythagorean Theorem

About This Chapter

What is the Pythagorean theorem and how is it applied? These video lessons and self-assessment quizzes provide a review of this theorem as you prepare to take the Missouri Educator Gateway Assessments (MEGA) Middle School Mathematics exam.

MEGA Middle School Math: The Pythagorean Theorem - Chapter Summary

Watch these video lessons to reinforce your understanding of how the Pythagorean theorem is used to solve problems regarding right triangles. You will see the written equation representing this theorem and learn what the theorem proves. You can expect to encounter the following topics discussed in these lessons on the MEGA Middle School Mathematics exam:

  • Application of the Pythagorean theorem
  • Using the Pythagorean theorem to find the hypotenuse and shorter sides of a right triangle
  • Solving functional problems with the Pythagorean theorem

Instructors explain this theorem using simple language and support the text with illustrations and examples. You can take the accompanying quizzes as many times as you need to ensure your full understanding of the material.

5 Lessons in Chapter 45: MEGA Middle School Math: The Pythagorean Theorem
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.

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 MEGA Middle School Mathematics: Practice & Study Guide course

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