# Ch 36: Math - Triangles & Trigonometric Ratios: Help and Review

### About This Chapter

## Who's It For?

Anyone who needs help learning or mastering math material will benefit from the lessons in this chapter. There is no faster or easier way to learn math. Among those who would benefit are:

- Students who have fallen behind in understanding the properties of right, similar, and special right triangles
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about trigonometric ratios
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How It Works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Math - Triangles & Trigonometric Ratios chapter exam.

## Why It Works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the Math - Triangles & Trigonometric Ratios chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any math question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students Will Review:

This chapter helps students review the concepts in a triangles and trigonometric ratios unit of a standard SAT prep course. Topics covered include:

- Types and properties of special right triangles
- Methods for identifying and applying special right triangles
- Explanation of trigonometric ratios and practice problems
- Practice and application of the Pythagorean Theorem
- Use of the Pythagorean Theorem to find distance

### 1. Properties of Shapes: Triangles

Isosceles, equilateral and obtuse, oh my! These are terms for triangles. But, what do they mean? In this lesson, we'll explore the properties of triangles and take a closer look at the different types of triangles you may encounter.

### 2. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

### 3. Applications of Similar Triangles

Similar triangles are used to solve problems in everyday situations. Learn how to solve with similar triangles here, and then test your understanding with a quiz.

### 4. 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.

### 5. Trigonometry: Sine and Cosine

Learn an easy trick to help you solve trigonometry problems, including problems with sine, cosine and inverse trig functions. At the end of this lesson, you'll know what SohCahToa means and how to use it.

### 6. 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.

### 7. 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.

### 8. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

### 9. 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

Other chapters within the SAT Prep: Help and Review course

- SAT - About the Test: Help and Review
- SAT Test Prep: General Info
- Writing - About the Writing Section: Help and Review
- Writing - Text & Argument Analysis: Help and Review
- Writing - Word Choice & Expression: Help and Review
- Writing - Standard English Grammar: Help and Review
- Writing - Writing & Language Test Practice: Help and Review
- Writing - The Essay Portion: Help and Review
- Writing - Planning & Writing An Essay: Help and Review
- Writing - Parts of an Essay: Help and Review
- Writing - Sentence Clarity and Structure: Help and Review
- Writing - Essay Writing Skills: Help and Review
- Writing - How to Write an Argument: Help and Review
- Writing - Supporting Your Writing: Help and Review
- Writing - Revising Your Writing: Help and Review
- Writing - Grammar and Usage: Help and Review
- Reading - About the Reading Section: Help and Review
- Reading - Sentence Completions: Help and Review
- Reading - Reading Passages: Help and Review
- Reading - Understanding Reading Passages: Help and Review
- Reading - Interpreting & Analyzing Text: Help and Review
- Reading - Mastering Reading Passages: Help and Review
- Reading - Literary Terms: Help and Review
- Reading - US Documents & Speeches: Help and Review
- Math - About the Math Section: Help and Review
- Math - Numbers and Operations: Help and Review
- Math - Exponents: Help and Review
- Math - Equations and Expressions: Help and Review
- Math - Rational Equations & Expressions: Help and Review
- Math - Inequalities: Help and Review
- Math - Functions: Help and Review
- Math - Quadratic Equations: Help and Review
- Math - Ratios, Rates & Proportional Relationships: Help and Review
- Math - Unit Rate & Measurement Conversions: Help and Review
- Math - Geometry and Measurement: Help and Review
- Math - Data Analysis, Statistics & Probability: Help and Review
- SAT Vocabulary Practice