Question

After your friend confirms the 11 a.m. get-together at the library, you receive an email with some specific questions, so you know what to expect when you get there.

Here's the email
Hey! Thank you so much for helping me! I have some questions for you that I really don't know the answers to. I know they will be covered on the test tomorrow. Do you think you could bring some examples of these types of problems with you so that we can go over them?

1. If I know the lengths of two sides of a right triangle, how do I find the third?
2. Could I find the two missing side lengths of a ri

Answer 1

3. Could I find the two missing angle measures if I know some of the side lengths of a right triangle?
4. What makes a triangle a “special” right triangle? How can special right triangles help me find side lengths?

Thanks for your help. See you at 11.

Your task

Help your friend out by doing the following for each of the questions in the email:
•Answer the question in complete sentences, as if you were explaining it to your friend.
•Create a unique teaching example to demonstrate what you explained in words. Work through this example step by step.
• Create a unique practice example. Provide the problem and the answer. Because you'd like your friend to show their understanding of what you taught, make the practice example different from the teaching example. For example, if the teaching example for #1 was missing the hypotenuse, have the practice example missing one of the legs. Or, if the teaching example for #4 used the sin ratio, have the practice example use the cosine or tangent ratio.