About This Chapter
How it works:
- Identify the lessons in the Prentice Hall Geometry Right Triangles and Trigonometry chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the right triangles and trigonometry topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- The Pythagorean theorem
- Proving the Pythagorean theorem
- Converse and special cases of the Pythagorean theorem
- Solving problems using the converse of the Pythagorean theorem
- Classifying triangles by angle measures
- Types and properties of special right triangles
- Side lengths of special right triangles
- Solving right triangles
- Problems requiring solving right triangles
- Introduction to sines, cosines and tangents
- Trigonometric ratios and similarity
- Practice finding the trigonometric ratios
- Angles of elevation and depression
- Definition and types of vectors
- Finding the magnitude of a vector
- Explanation and examples of the geometric approach to vector addition
Prentice Hall Geometry is a registered trademark of Prentice Hall, which is not affiliated with Study.com.
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. Special Right Triangles: Types and Properties
Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.
4. 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.
5. 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.
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Other chapters within the Prentice Hall Geometry: Online Textbook Help course
- Prentice Hall Geometry Chapter 1: Tools of Geometry
- Prentice Hall Geometry Chapter 2: Reasoning and Proof
- Prentice Hall Geometry Chapter 3: Parallel and Perpendicular Lines
- Prentice Hall Geometry Chapter 4: Congruent Triangles
- Prentice Hall Geometry Chapter 5: Relationships Within Triangles
- Prentice Hall Geometry Chapter 6: Quadrilaterals
- Prentice Hall Geometry Chapter 7: Similarity
- Prentice Hall Geometry Chapter 9: Transformations
- Prentice Hall Geometry Chapter 10: Area
- Prentice Hall Geometry Chapter 11: Surface Area and Volume
- Prentice Hall Geometry Chapter 12: Circles