You have learned about the following topics: using the Pythagorean Theorem and its converse using properties of special right triangles (45°–45°–90° and 30°–60°–90°) using trigonometric ratios to find unknown side lengths using trigonometric ratios to find unknown angle measures solving problems that involves angles of elevation and depression Reflect on each of these topics and answer two of the following questions: Which topic in this unit do you feel the most confident about and why? Which topic in this unit has been the most challenging for you and why? Describe a scenario where the Pythagorean Theorem could be used in real life. Post in the discussion with answers to these questions. Next, view posts from your classmates and respond to two of them. Do you feel confident about the same topic as your classmates? Why does this topic make sense to you? Do you share the same challenge as your classmates? If so, what can you do to overcome that challenge? Do you understand the examples your classmates provided of using the Pythagorean Theorem in real life? Do their examples apply to your life?

Question

You have learned about the following topics: using the Pythagorean Theorem and its converse using properties of special right triangles (45°–45°–90° and 30°–60°–90°) using trigonometric ratios to find unknown side lengths using trigonometric ratios to find unknown angle measures solving problems that involves angles of elevation and depression Reflect on each of these topics and answer two of the following questions: Which topic in this unit do you feel the most confident about and why? Which topic in this unit has been the most challenging for you and why? Describe a scenario where the Pythagorean Theorem could be used in real life. Post in the discussion with answers to these questions. Next, view posts from your classmates and respond to two of them. Do you feel confident about the same topic as your classmates? Why does this topic make sense to you? Do you share the same challenge as your classmates? If so, what can you do to overcome that challenge? Do you understand the examples your classmates provided of using the Pythagorean Theorem in real life? Do their examples apply to your life?

Answer 1

I feel the most confident about using the Pythagorean Theorem because it is a concept that I have been familiar with for a long time. I find it relatively easy to apply in different scenarios and I understand the concept behind it well.

The most challenging topic for me in this unit has been using trigonometric ratios to find unknown side lengths and angle measures. I sometimes struggle with remembering the ratios and applying them correctly in different situations. It requires more practice for me to become comfortable with using trigonometric ratios effectively.

One scenario where the Pythagorean Theorem could be used in real life is in construction. Let's say you are building a new fence in your backyard and you need to determine the diagonal length of the fence to make sure it fits within the available space. By using the Pythagorean Theorem, you can calculate the diagonal length by finding the square root of the sum of the squares of the two sides.

I do feel confident about the same topic as some of my classmates, which is using the Pythagorean Theorem. It makes sense to me because it is a fundamental concept in geometry and is used in many different fields.

I share the same challenge as some of my classmates in using trigonometric ratios to find unknown side lengths and angle measures. To overcome this challenge, I plan to practice more problems and review the different ratios to become more comfortable with applying them in various situations.

I understand the examples my classmates provided of using the Pythagorean Theorem in real life, and some of them do apply to my life. It is interesting to see how this concept is used in different scenarios outside of the classroom.