# Ch 35: CEOE Advanced Math: The Pythagorean Theorem

### About This Chapter

## CEOE Advanced Math: The Pythagorean Theorem - Chapter Summary

The Pythagorean Theorem is necessary to all students who will be solving math problems involving triangles and functions. In this set of video lessons for the CEOE Advanced Math review course, you will gain a refresher on the ins and outs of the theorem and how to properly apply it to the questions you will see on the exam. The topics included in this chapter are as follows:

- Applying the Pythagorean Theorem
- Finding the hypotenuse of a right triangle
- Finding the shorter sides of right triangles
- Solving functional problems

If any aspect of the theorem is still a bit confusing to you, contact our math experts for answers to any questions you might have. You can then take the self-assessment quizzes provided with this chapter to see how well-prepared you are for the CEOE exam.

### CEOE Advanced Math: The Pythagorean Theorem Chapter Objectives

The CEOE exam is given to all teachers in the state of Oklahoma who are trying to obtain certification in advanced math courses. Questions about the Pythagorean Theorem can be found in the Measurement and Geometry section of the multiple-choice exam, which makes up approximately 18 percent of the test's content.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide course

- CEOE Advanced Math: Mathematical Reasoning & Ideas
- CEOE Advanced Math: Origins of Math
- CEOE Advanced Math: Absolute Value
- CEOE Advanced Math: Inequalities
- CEOE Advanced Math: Integers
- CEOE Advanced Math: Operations with Fractions
- CEOE Advanced Math: Operations with Decimals
- CEOE Advanced Math: Percents
- CEOE Advanced Math: Rational & Irrational Numbers
- CEOE Advanced Math: Complex Numbers
- CEOE Advanced Math: Properties of Numbers
- CEOE Advanced Math: Exponents & Exponential Expressions
- CEOE Advanced Math: Roots & Radical Expressions
- CEOE Advanced Math: Number Theory
- CEOE Advanced Math: Vectors, Matrices & Determinants
- CEOE Advanced Math: Properties of Functions
- CEOE Advanced Math: Graphing Functions
- CEOE Advanced Math: The Coordinate Graph & Graph Symmetry
- CEOE Advanced Math: Linear Equations
- CEOE Advanced Math: Systems of Linear Equations
- CEOE Advanced Math: Quadratic Functions
- CEOE Advanced Math: Polynomial Functions Basics
- CEOE Advanced Math: Higher-Degree Polynomial Functions
- CEOE Advanced Math: Piecewise, Absolute Value & Step Functions
- CEOE Advanced Math: Rational Expressions & Function Graphs
- CEOE Advanced Math: Exponential & Logarithmic Functions
- CEOE Advanced Math: Measurement
- CEOE Advanced Math: Perimeter & Area
- CEOE Advanced Math: Symmetry, Similarity & Congruence
- CEOE Advanced Math: Properties of Lines
- CEOE Advanced Math: Angles
- CEOE Advanced Math: Triangles
- CEOE Advanced Math: Triangle Theorems & Proofs
- CEOE Advanced Math: Similar Polygons
- CEOE Advanced Math: Circles
- CEOE Advanced Math: Circular Arcs & Measurement
- CEOE Advanced Math: Transformations
- CEOE Advanced Math: Analytic Geometry & Conic Sections
- CEOE Advanced Math: Trigonometric Functions
- CEOE Advanced Math: Trigonometric Graphs
- CEOE Advanced Math: Trigonometric Applications
- CEOE Advanced Math: Limits
- CEOE Advanced Math: Continuity
- CEOE Advanced Math: Rate of Change
- CEOE Advanced Math: Derivative Calculations & Rules
- CEOE Advanced Math: Graphing & Applying Derivatives
- CEOE Advanced Math: Area Under the Curve & Integrals
- CEOE Advanced Math: Integration Techniques
- CEOE Advanced Math: Differential Equations
- CEOE Advanced Math: Data & Graphs
- CEOE Advanced Math: Samples & Populations
- CEOE Advanced Math: Probability
- CEOE Advanced Math: Sets
- CEOE Advanced Math: Statistics
- CEOE Advanced Math: Number Patterns & Sequences
- CEOE Advanced Math: Number Patterns & Series
- CEOE Advanced Math: Discrete Math
- OSAT Advanced Mathematics (CEOE) (111) Flashcards