# Chapter 8: Right Triangle Trigonometry

Difficulty Level:

**At Grade**Created by: CK-12

Chapter 8 explores right triangles in far more depth than Chapters 4 and 5. Recall that a right triangle is a triangle with exactly one right angle. In this chapter, we will first prove the Pythagorean Theorem and its converse, followed by analyzing the sides of certain types of triangles. Then, we will introduce trigonometry, which starts with the tangent, sine and cosine ratios. Finally, we will extend sine and cosine to any triangle, through the Law of Sines and the Law of Cosines.

Chapter Outline

- 8.1.
## The Pythagorean Theorem

- 8.2.
## Converse of the Pythagorean Theorem

- 8.3.
## Using Similar Right Triangles

- 8.4.
## Special Right Triangles

- 8.5.
## Tangent, Sine and Cosine

- 8.6.
## Inverse Trigonometric Ratios

- 8.7.
## Extension: Laws of Sines and Cosines

- 8.8.
## Chapter 8 Review

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In this chapter, the Pythagorean Theorem and its converse are proved. Then, trigonometry is introduced, starting with the tangent, sine and cosine ratios, and then extended to any triangle, through the Law of Sines and the Law of Cosines.

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Date Created:

Feb 23, 2012
Last Modified:

Apr 29, 2014
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