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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

8048

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 (z) 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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Right Triangles & Trigonometry

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Special Right Triangles

Right Triangles and Trigonometry Homework Help with Answer Keys

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Bianca Stratford

@biancastratford

·

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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

8048

 

Geometry

182

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 (z) 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.

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 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 (x) is 34 ÷ 2 = 17, and the longer leg (y) 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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Geometry - Geometry: Special Right Triangles

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Know Geometry: Special Right Triangles thumbnail

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Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

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App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

20 M

Students use Knowunity

#1

In Education App Charts in 17 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying