This document discusses two ways to classify triangles: by their sides and by their angles. Triangles can be classified by their sides as scalene if no sides are the same length or isosceles if at least two sides are the same length. Triangles can be classified by their angles as acute if all angles are less than 90 degrees, right if one angle is 90 degrees, or obtuse if one angle is greater than 90 degrees. Examples are given of classifying triangles under each system.

1. Classifying Triangles

2. Two Ways to Classify Triangles By Their Sides By Their Angles

3. Classifying Triangles By Their Sides Scalene Isosceles

4. Scalene Triangles No sides are the same length

5. Isosceles Triangles At least two sides are the same length

6. Classifying Triangles By Their Angles Acute Right Obtuse

7. Acute Triangles Acute triangles have three acute angles

8. Right Triangles Right triangles have one right angle

9. Obtuse Triangles Obtuse triangles have one obtuse angle

10. Classify this triangle. Right Scalene

11. Classify this triangle. Obtuse Isosceles

12. Classify this triangle. Acute Scalene

13. Classify this triangle. Acute Isosceles

14. Classify this triangle. Obtuse Scalene

15. Classify this triangle. Right Isosceles

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