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Fun with Triangles: Classifying by Angles and Sides

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Paylee

3/6/2023

Geometry

Classifying Triangles

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Geometry

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Congruent Triangles

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Working with Triangles

Fun with Triangles: Classifying by Angles and Sides

Different types of triangles and their classification methods form the foundation of geometric understanding. This comprehensive guide explores triangle classification by both angles and sides, including practical examples and algebraic problem-solving techniques.

  • Classifying triangles by angles involves identifying acute, obtuse, and right triangles
  • Classifying triangles by sides covers equilateral, isosceles, and scalene triangles
  • Triangle side problems can be solved using algebraic methods and properties of isosceles and equilateral triangles
  • Special attention is given to the relationship between angles and sides in different triangle types
  • Practice problems reinforce understanding of triangle classification and algebraic problem-solving
...

3/6/2023

669

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

View

Page 2: Advanced Triangle Classification and Algebraic Solutions

This page delves into more complex triangle classifications and introduces algebraic problem-solving methods for finding triangle sides.

Example: Problem 1 demonstrates solving for x and y in an equilateral triangle where sides are expressed as algebraic expressions: 3x+1, 6x-45, and 18y-41

Highlight: The page introduces solving for triangle sides with algebra using properties of isosceles and equilateral triangles

Definition: In an isosceles triangle, two sides are congruent, and their corresponding angles are also congruent

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

View

Page 3: Practice Problems and Applications

This page provides comprehensive practice in classifying triangles by angles and sides through various examples and exercises.

Example: Problem 1 shows a triangle with angles 73°, 73°, and 34°, classified as an isosceles acute triangle

Highlight: The exercises incorporate both angle measurements and side lengths to provide complete triangle classification practice

Vocabulary: Bisector refers to a line that divides an angle or segment into two equal parts

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

View

Page 4: Advanced Algebraic Triangle Problems

This page focuses on complex algebraic problems involving triangle sides and their relationships.

Example: An equilateral triangle problem where ST = 2x-1, SU = 5x-37, and TU = x+11

Highlight: The problems demonstrate how to use algebraic equations to solve for unknown side lengths in isosceles and equilateral triangles

Definition: In an equilateral triangle, all sides must be equal and all angles must be 60°

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Subjects

Geometry

Congruent Triangles

Working with Triangles

 

Geometry

•

669

•

Jul 1, 2025

•

4 pages

Fun with Triangles: Classifying by Angles and Sides

user profile picture

Paylee

@paylee_zmgg

Different types of triangles and their classification methods form the foundation of geometric understanding. This comprehensive guide explores triangle classification by both angles and sides, including practical examples and algebraic problem-solving techniques.

  • Classifying triangles by anglesinvolves identifying acute, obtuse,... Show more

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

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Page 2: Advanced Triangle Classification and Algebraic Solutions

This page delves into more complex triangle classifications and introduces algebraic problem-solving methods for finding triangle sides.

Example: Problem 1 demonstrates solving for x and y in an equilateral triangle where sides are expressed as algebraic expressions: 3x+1, 6x-45, and 18y-41

Highlight: The page introduces solving for triangle sides with algebra using properties of isosceles and equilateral triangles

Definition: In an isosceles triangle, two sides are congruent, and their corresponding angles are also congruent

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

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Page 3: Practice Problems and Applications

This page provides comprehensive practice in classifying triangles by angles and sides through various examples and exercises.

Example: Problem 1 shows a triangle with angles 73°, 73°, and 34°, classified as an isosceles acute triangle

Highlight: The exercises incorporate both angle measurements and side lengths to provide complete triangle classification practice

Vocabulary: Bisector refers to a line that divides an angle or segment into two equal parts

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

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Join milions of students

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Page 4: Advanced Algebraic Triangle Problems

This page focuses on complex algebraic problems involving triangle sides and their relationships.

Example: An equilateral triangle problem where ST = 2x-1, SU = 5x-37, and TU = x+11

Highlight: The problems demonstrate how to use algebraic equations to solve for unknown side lengths in isosceles and equilateral triangles

Definition: In an equilateral triangle, all sides must be equal and all angles must be 60°

<p><strong>Classifying Triangles by Angles</strong></p> <p>When classifying triangles by their angles, there are three main types: acute, ri

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Triangle Classification Fundamentals

This page introduces the fundamental concepts of classifying triangles by angles and sides. The content is organized into clear sections with visual examples and definitions.

Definition: Triangles can be classified by angles into three categories: acute allangles<90°all angles < 90°, obtuse oneangle>90°one angle > 90°, and right oneangle=90°one angle = 90°

Vocabulary: Equiangular triangles have three congruent angles, each measuring 60°

Example: The diagram shows various triangles labeled ABDE obtuseobtuse, ACFE acuteacute, and AJKN equilateralequilateral

Highlight: When classifying triangles by sides, they can be equilateral 3congruentsides3 congruent sides, isosceles 2congruentsides2 congruent sides, or scalene nocongruentsidesno congruent sides

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Paul T

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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

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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