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Math 10C Module 1 Lesson 7

Module 1 Part 2: Trigonometry

 

 This section checks to see if you have the prerequisite knowledge and skills to be able to complete this lesson successfully.

Are You Ready?

Complete these questions in your course folder (binder). If you are experiencing difficulty, you may want to use the information and the multimedia in the Refresher section to clarify concepts before completing these exercises.

1. What is a right triangle?

2. In any triangle, what is the sum of the measures of the three angles?

3. Calculate the missing angle in the triangle below.

4. State the Pythagorean theorem, and explain when you would use it.

5. In the following triangle, we know the lengths of two sides. Use the Pythagorean theorem to calculate the length of the hypotenuse.


6. In the following triangle, we know the lengths of one side and the length of the hypotenuse. Use the Pythagorean theorem to calculate the length of the unknown side. Hint - re-arrange the formula first.

7. Find the length of the missing side or hypotenuse. Round answers to the nearest tenth.

a.

b.

Once you have completed these exercises to the best of your ability, use the provided answer link to check your work.

Answers


If you feel comfortable with the concepts covered in the questions, move forward to Discover. It is also RECOMMENDED you work through the resources in the Refresher to review these important concepts before continuing through the lesson.


 

Refresher

 

Are you able to tell if a triangle is a right triangle? Test your ability to do so by going to the multimedia piece titled “Right Triangle.” On the bottom of the website is an interactive definition of a right triangle.

 

Use the multimedia item titled “Pythagorean Theorem” to see another visual definition.

 

The multimedia piece titled “Exploring the Pythagorean Theorem” allows you to change the side lengths of a right triangle to see the effect on the length of the hypotenuse.

At the website, choose the “Interactive” button near the middle of the page. You will be presented with a visual explanation of the Pythagorean theorem.

Materials

  • ruler

  • protractor

  • calculator

  • graph paper

In addition, specific materials are required for the Going Beyond section where you have the opportunity to build a simple sundial. The materials you will require to build the sundial will depend on the design that you choose. You will find out what materials you need by doing an Internet search.