# Ch 28: NES Essential Academic Skills Math: The Pythagorean Theorem

### About This Chapter

## NES Essential Academic Skills Math: The Pythagorean Theorem - Chapter Summary

Prepare to apply your knowledge of the Pythagorean theorem when you sit for the NES Essential Academic Skills Math examination for teacher certification. Learn more about its applications and pertinent definitions when you review the tutorial video lessons in this chapter. Study the ways in which the Pythagorean theorem can be used to identify right triangles or find the length of a missing side when the length of two sides are known. This chapter might assist you with:

- Defining and applying the Pythagorean theorem
- Understanding the function and fundamentals of the Pythagorean theorem
- Describing the theorem as it relates to the law of cosines
- Using the converse of the Pythagorean theorem

Teachers who have mastered the Pythagorean theorem present the topics in this chapter's entertaining video lessons. The videos are short and self paced. Watch them online via your mobile or wired technology. You'll be able to submit questions on this topic to instructors from the Dashboard area of the lessons. Click on the *video,* *quiz* and *course* tabs to access relevant information. You'll also be able to take the chapter and final examinations whenever you're ready.

### NES Essential Academic Skills Math: The Pythagorean Theorem Chapter Objectives

Your knowledge of general geometric concepts and the Pythagorean theorem in particular will be evaluated during the NES Essential Academic Skills Subtest III - Mathematics examination's third competency area. Use what you studied throughout this chapter when displaying your expertise and qualifications to teach this material. You'll have up to an hour to supply your best answers to the computer-based examination's 45 multiple-choice questions.

### 1. Pythagorean Theorem: Definition & Example

Pythagorean theorem, named after the mathematician Pythagoras, shows the relation between the sum of the squares of each of the three sides of a right triangle. Learn about the definition of the Pythagorean theorem, discover how a right triangle and sides of a triangle are used in the equation of the theorem, and explore the application of the Pythagorean theorem through relevant examples.

### 2. The Pythagorean Theorem: Practice and Application

Discover how the Pythagorean theorem helps people to solve for all sides of a triangle. Learn about the basics, purpose, and applications of the Pythagorean theorem.

### 3. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem states that the square of the hypotenuse of a right triangle will always equal the sum of the squares of the two sides. Learn about the law of cosines, special cases, and the converse of the Pythagorean Theorem.

### Earning College Credit

Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Other Chapters

Other chapters within the NES Essential Academic Skills Mathematics Subtest 3 (003): Practice & Study Guide course

- About the NES Test
- NES Essential Academic Skills Math: Decimals
- NES Essential Academic Skills Math: Fractions
- NES Essential Academic Skills Math: Estimating & Rounding
- NES Essential Academic Skills Math: Percent Notation
- NES Essential Academic Skills Math: Computing Integers
- NES Essential Academic Skills Math: Rates & Ratios
- Understanding Mathematical Problems
- Types of Numbers & Number Theory
- Basics of Numerical Functions
- NES Essential Academic Skills Math: Linear Equations
- NES Essential Academic Skills Math: Graphing Functions
- NES Essential Academic Skills Math: Quadratic Equations
- NES Essential Academic Skills Math: Inequalities
- Exponentiation & Rational Numbers
- NES Essential Academic Skills Math: Piecewise Functions
- NES Essential Academic Skills Math: Measurement
- NES Essential Academic Skills Math: Perimeter & Area
- NES Essential Academic Skills Math: Geometric Figures
- NES Essential Academic Skills Math: Types of Angles
- NES Essential Academic Skills Math: Triangles
- NES Essential Academic Skills Math: Quadrilaterals
- NES Essential Academic Skills Math: Circles & Arcs
- NES Essential Academic Skills Math: 3D Shapes & Geometric Solids
- Geometric Transformation & Symmetry
- NES Essential Academic Skills Math: Triangle Theorems & Proofs
- NES Essential Academic Skills Math: Similar Polygons
- NES Essential Academic Skills Math: Graphing Coordinates
- NES Essential Academic Skills Math: Trigonometric Functions
- NES Essential Academic Skills Math: Continuity
- Understanding Statistics
- NES Essential Academic Skills Math: Probability
- NES Essential Academic Skills Math: Discrete Math
- NES Essential Academic Skills Mathematics Subtest 3 Flashcards