Triangles are fundamental geometric shapes with three sides and three...
Geometry137 views·Updated Jul 19, 2026·1 pageFun Triangle Worksheets: Discover the 7, 12, or Even 20 Types!
E
Elizabeth Marie@elizabethmarie_team
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Classifying Triangles by Sides and Angles
This page provides a comprehensive overview of triangle classification, focusing on both side lengths and angle measures. It serves as an excellent resource for students learning about the characteristics of different types of triangles.
Definition: A triangle is a three-sided polygon with three angles.
The page is divided into two main sections: classification by sides and classification by angles.
Classification by Sides:
- Equilateral Triangle: All three sides are equal in length.
- Isosceles Triangle: Two sides are equal in length.
- Scalene Triangle: No two sides are equal in length.
Vocabulary: Equilateral means "equal sides," isosceles means "two equal sides," and scalene means "unequal sides."
Classification by Angles:
- Acute Triangle: All angles are less than 90°.
- Right Triangle: One angle is exactly 90°.
- Obtuse Triangle: One angle is greater than 90°.
Highlight: A triangle can be classified by both its sides and angles simultaneously, leading to combinations like "acute isosceles" or "right scalene."
The page includes several examples of triangles, each labeled with their angle measures and side lengths. These examples demonstrate how to apply both side and angle classifications to real triangles.
Example: Triangle 7 has all angles measuring 60° and all sides equal to 8.6 units, making it an equilateral and equiangular (acute) triangle.
Other examples include:
- A right scalene triangle (90°, 32°, 58°; sides 11.2, 7, 13.2)
- An acute scalene triangle (79°, 57°, 44°; sides 6.1, 7.4, 8.7)
- An obtuse isosceles triangle (26°, 26°, 128°; sides 2.5, 2.5, 4.5)
- An acute isosceles triangle (72°, 72°, 36°; sides 3, 4.8, 4.8)
- A right isosceles triangle (90°, 45°, 45°; sides 4.8, 4.8, 6.8)
This comprehensive guide serves as an excellent classifying triangles worksheet, allowing students to practice identifying triangle types based on given measurements. It effectively covers the 7 types of triangles commonly studied in geometry: equilateral, isosceles, scalene, acute, right, obtuse, and their various combinations.
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Geometry137 views·Updated Jul 19, 2026·1 pageFun Triangle Worksheets: Discover the 7, 12, or Even 20 Types!
E
Elizabeth Marie@elizabethmarie_team
Triangles are fundamental geometric shapes with three sides and three angles. This guide explores the various types of triangles based on their sides and angles, providing clear examples and classifications. Characteristics of different types of trianglesare explained, helping students...
1
of 1
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Classifying Triangles by Sides and Angles
This page provides a comprehensive overview of triangle classification, focusing on both side lengths and angle measures. It serves as an excellent resource for students learning about the characteristics of different types of triangles.
Definition: A triangle is a three-sided polygon with three angles.
The page is divided into two main sections: classification by sides and classification by angles.
Classification by Sides:
- Equilateral Triangle: All three sides are equal in length.
- Isosceles Triangle: Two sides are equal in length.
- Scalene Triangle: No two sides are equal in length.
Vocabulary: Equilateral means "equal sides," isosceles means "two equal sides," and scalene means "unequal sides."
Classification by Angles:
- Acute Triangle: All angles are less than 90°.
- Right Triangle: One angle is exactly 90°.
- Obtuse Triangle: One angle is greater than 90°.
Highlight: A triangle can be classified by both its sides and angles simultaneously, leading to combinations like "acute isosceles" or "right scalene."
The page includes several examples of triangles, each labeled with their angle measures and side lengths. These examples demonstrate how to apply both side and angle classifications to real triangles.
Example: Triangle 7 has all angles measuring 60° and all sides equal to 8.6 units, making it an equilateral and equiangular (acute) triangle.
Other examples include:
- A right scalene triangle (90°, 32°, 58°; sides 11.2, 7, 13.2)
- An acute scalene triangle (79°, 57°, 44°; sides 6.1, 7.4, 8.7)
- An obtuse isosceles triangle (26°, 26°, 128°; sides 2.5, 2.5, 4.5)
- An acute isosceles triangle (72°, 72°, 36°; sides 3, 4.8, 4.8)
- A right isosceles triangle (90°, 45°, 45°; sides 4.8, 4.8, 6.8)
This comprehensive guide serves as an excellent classifying triangles worksheet, allowing students to practice identifying triangle types based on given measurements. It effectively covers the 7 types of triangles commonly studied in geometry: equilateral, isosceles, scalene, acute, right, obtuse, and their various combinations.
We thought you’d never ask...
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Similar Content
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Students love us — and so will you.
4.6/5App Store
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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 SiOS user
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Samantha KlichAndroid 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.
AnnaiOS user