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Published byTheodore Ferguson Modified over 4 years ago

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Classifying Triangles

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What do we remember about classifying angles? What are the different types of angles? Acute, right, obtuse, and straight

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How are triangles classified? Triangles are classified in two ways: by their sides and their angles

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Types of triangles classified by their sides Equilateral Isosceles Scalene

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Types of triangles classified by their angles Acute Right Obtuse

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Equilateral Triangles All 3 sides are congruent (Note: all 3 angles are congruent also)

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Equilateral Triangles cont’d

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Isosceles Triangles 2 sides are congruent (Note: base angles are also congruent)

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Isosceles Triangle cont’d

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Scalene Triangle No sides are congruent

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Scalene Triangle

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Acute Triangle All 3 angles are acute

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Acute Triangle

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Right Triangle Has 1 right angle

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Right Triangle

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Obtuse Triangle Has 1 obtuse angle

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Obtuse Triangle

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Multiple Classifications Triangles can be classified by both their sides and angles: Acute Isosceles Right Isosceles Obtuse Isosceles Acute Scalene Obtuse Scalene Right Scalene

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What type of triangle does not have multiple classifications? Equilateral Triangles – all of its angles and sides are congruent, so there cannot be different types of equilateral triangles.

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Acute Isosceles Triangle 2 sides are congruent and all angles are acute

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Obtuse Isosceles Triangle 2 sides are congruent and one angle is obtuse

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Right Isosceles Triangle 2 sides are congruent and one angle is a right angle

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Acute Scalene Triangle No sides are congruent and all angles are acute

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Obtuse Scalene Triangle No sides are congruent and one angle is obtuse

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Right Scalene Triangle No sides are congruent and one angle is a right angle

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Two sets of questions we should ask ourselves when classifying triangles: 1.Regarding angles: Are all 3 angles acute, or is 1 angle right or obtuse? 2.Regarding sides: Are all 3 sides congruent, are only 2 sides congruent, or are no sides congruent?

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For you to try: what type of triangles are the following triangles?

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