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Right Triangles and Trigonometry Homework Help with Answer Keys

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Bianca Stratford

2/3/2023

Geometry

U7L2 Special Right Triangles Full Solutions

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Right Triangles & Trigonometry

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Special Right Triangles

Right Triangles and Trigonometry Homework Help with Answer Keys

This homework assignment focuses on special right triangles and their applications, providing students with practice in solving problems related to 30-60-90 and 45-45-90 triangles. The exercises cover various aspects of right triangles and trigonometry, including finding side lengths, calculating perimeters, and solving real-world problems.

• Students are tasked with finding variable values in different right triangle configurations.
• The assignment includes problems involving both 30-60-90 and 45-45-90 triangles.
• Real-world applications are presented, such as calculating ramp lengths and ball speeds.
• Students practice using special right triangle formulas and properties throughout the assignment.

...

2/3/2023

8059

Name: Date: 1. Directions: Find the value of each variable. 2. 4. 7. 10. y 13. X 30° X 45° 34 30° 45° 45° y √6.√3 =√18 y [ 13 n V 2√14 34 17

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Page 2: Advanced Special Right Triangle Problems and Real-World Applications

This page continues with more complex special right triangle problems and includes real-world applications.

Solutions for problems 15-20:

  1. x = 14√3, y = 14, z = 14√2
  2. x = 12√2, y = 12√6, z = 24
  3. x = 26√3, y = 39, z = 39√2
  4. x = 10√3, y = 20, z = 10√6
  5. x = 14√5, y = 14√2, z = 14√3
  6. x = 10√2, y = 20√3, z = 30

Example: In problem 17, for a 30-60-90 triangle with the longest side zz equal to 39√2, we can find x by dividing z by 2√3, and y by dividing z by √2.

Problem 21 involves finding the perimeter of a triangle: P = 24√3

Problem 22 calculates the perimeter of a square: P = 56√2

Definition: The perimeter of a shape is the distance around its outer edge.

Problems 23 and 24 present real-world applications:

  1. Length of loading ramps: 6.25 ft
  2. Speed of baseball throw: 106.1 ft/sec

Highlight: These real-world problems demonstrate how special right triangle concepts can be applied to practical situations, such as construction and sports.

This page provides advanced practice for U7l2 special right triangles solutions worksheet and serves as a comprehensive Unit 7 Right Triangles and Trigonometry answer key, including applications that might appear in a Unit 7 Right Triangles and Trigonometry Homework 4 trigonometric Ratios and Finding Missing Sides exercise.

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Subjects

Geometry

Right Triangles & Trigonometry

Special Right Triangles

 

Geometry

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Feb 3, 2023

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2 pages

Right Triangles and Trigonometry Homework Help with Answer Keys

user profile picture

Bianca Stratford

@biancastratford

This homework assignment focuses on special right triangles and their applications, providing students with practice in solving problems related to 30-60-90 and 45-45-90 triangles. The exercises cover various aspects of right triangles and trigonometry, including finding side lengths, calculating... Show more

Name: Date: 1. Directions: Find the value of each variable. 2. 4. 7. 10. y 13. X 30° X 45° 34 30° 45° 45° y √6.√3 =√18 y [ 13 n V 2√14 34 17

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Page 2: Advanced Special Right Triangle Problems and Real-World Applications

This page continues with more complex special right triangle problems and includes real-world applications.

Solutions for problems 15-20:

  1. x = 14√3, y = 14, z = 14√2
  2. x = 12√2, y = 12√6, z = 24
  3. x = 26√3, y = 39, z = 39√2
  4. x = 10√3, y = 20, z = 10√6
  5. x = 14√5, y = 14√2, z = 14√3
  6. x = 10√2, y = 20√3, z = 30

Example: In problem 17, for a 30-60-90 triangle with the longest side zz equal to 39√2, we can find x by dividing z by 2√3, and y by dividing z by √2.

Problem 21 involves finding the perimeter of a triangle: P = 24√3

Problem 22 calculates the perimeter of a square: P = 56√2

Definition: The perimeter of a shape is the distance around its outer edge.

Problems 23 and 24 present real-world applications:

  1. Length of loading ramps: 6.25 ft
  2. Speed of baseball throw: 106.1 ft/sec

Highlight: These real-world problems demonstrate how special right triangle concepts can be applied to practical situations, such as construction and sports.

This page provides advanced practice for U7l2 special right triangles solutions worksheet and serves as a comprehensive Unit 7 Right Triangles and Trigonometry answer key, including applications that might appear in a Unit 7 Right Triangles and Trigonometry Homework 4 trigonometric Ratios and Finding Missing Sides exercise.

Sign up to see the contentIt's free!

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Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Special Right Triangles Solutions

This page contains solutions for 14 problems involving special right triangles, primarily 30-60-90 and 45-45-90 triangles.

Highlight: The problems focus on finding the values of variables in special right triangles using their unique properties.

Solutions for selected problems:

  1. x = 17, y = 17√3
  2. x = 13√2, y = 13
  3. x = 3√3, y = 6
  4. x = 34, y = 17√3
  5. x = 10√2, y = 10
  6. x = 4√7, y = 8√7

Example: In problem 4, for a 30-60-90 triangle with hypotenuse 34, the shorter leg xx is 34 ÷ 2 = 17, and the longer leg yy is 17√3.

  1. x = 2√7, y = 2√6
  2. x = 15√2, y = 15√2
  3. x = 18√3, y = 18
  4. x = √6, y = √2
  5. z = 24√3, y = 24
  6. x = 16√3, y = 8√3
  7. x = 13, y = 13√2
  8. x = 4√7, y = 4√21

Vocabulary: Special right triangles are right triangles with specific angle measurements that have consistent side length ratios.

The solutions demonstrate the application of U7l2 special right triangles solutions concepts, providing a comprehensive Unit 7 Right triangles and Trigonometry Homework 1 answer key.

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Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user