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Ch 33: SAT Math: Triangles & Trigonometric Ratios

About This Chapter

This chapter outlines the fundamentals of triangles and trigonometric ratios for students who are planning to take and pass the mathematics portion of the SAT examination. Watch every video lesson and complete the practice quizzes in preparation.

SAT Math: Triangles and Trigonometric Ratios - Chapter Summary

Look to this chapter on triangles and trigonometric ratios to build upon what you've learned in math class about different types of triangles, methods of identifying them, solving problems with similar triangles and the properties of special right triangles. The purpose of the Pythagorean theorem is also outlined in this chapter's online videos. Prior to taking the SAT Math examination, watch the lessons so that you may:

  • Examine the basic properties of triangles
  • Recognize similar triangles and understand their applications
  • Use the properties of special right triangles to solve problems
  • Calculate trigonometry problems with sine and cosine
  • Study trigonometric ratios and discover how to use them
  • Practice using and calculating distance with the Pythagorean theorem

Get set to take the mathematics portion of the SAT examination with the help of these preparatory video lessons. Experienced math experts lead the short, engaging lessons, which can be accessed via your mobile device. Click the video tab to watch an animated lesson. Pause and rewind the video as necessary. The course tab includes a link to a page that has a related course, and the quiz tab permits you to take a five-question multiple-choice assessment that tests your comprehension of triangles and trigonometric ratios.

SAT Math: Triangles and Trigonometric Ratios Chapter Objectives

The Additional Topics in Math section of the examination includes questions related to the topics that are covered in this chapter. For example, you could be tested on similarities, the Pythagorean theorem and the special properties of various triangles. The overall math section of the paper-delivered SAT examination includes 58 questions that must be answered in 80 minutes. There are 45 standard multiple-choice questions and 13 student-produced response questions. When addressing the latter questions, you'll write your answers on a special grid.

9 Lessons in Chapter 33: SAT Math: Triangles & Trigonometric Ratios
Properties of Shapes: Triangles

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.

How to Identify Similar Triangles

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.

Applications of Similar Triangles

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.

Special Right Triangles: Types and Properties

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.

Trigonometry: Sine and Cosine

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.

Trigonometric Ratios and Similarity

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.

The Pythagorean Theorem: Practice and Application

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.

Finding Distance with the Pythagorean Theorem

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.

Practice Finding the Trigonometric Ratios

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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