The document discusses classifying triangles based on the lengths of their sides (scalene or isosceles) and the measures of their angles (acute, right, or obtuse). Triangles can be classified into these six categories and examples are provided to demonstrate classifying triangles based on their attributes.

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Classifying TrianglesClassifying Triangles
Subject: Geometry
Grade Level: High School

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Two Ways to Classify TrianglesTwo Ways to Classify Triangles
By Their Sides
By Their Angles

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Classifying TrianglesClassifying Triangles
By Their SidesBy Their Sides
Scalene
Isosceles

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Scalene TrianglesScalene Triangles
No sides are the same length

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Isosceles TrianglesIsosceles Triangles
At least two sides are the same length

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Classifying TrianglesClassifying Triangles
By Their AnglesBy Their Angles
Acute
Right
Obtuse

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Acute TrianglesAcute Triangles
Acute triangles have three acute angles

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Right TrianglesRight Triangles
Right triangles have one right angle

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Obtuse TrianglesObtuse Triangles
Obtuse triangles have one obtuse angle

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Classify this triangle.Classify this triangle.
Right Scalene

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Classify this triangle.Classify this triangle.
Obtuse Isosceles

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Classify this triangle.Classify this triangle.
Acute Scalene

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Classify this triangle.Classify this triangle.
Acute Isosceles

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Classify this triangle.Classify this triangle.
Obtuse Scalene

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Classify this triangle.Classify this triangle.
Right Isosceles