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Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.
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Vocabulary acute triangle equiangular triangle right triangle
obtuse triangle equilateral triangle isosceles triangle scalene triangle
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Recall that a triangle is a polygon with three sides.
Triangles can be classified in two ways:
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B A C List the sides of Triangle ABC: List the vertices:
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Acute Triangle Equiangular Triangle Right Triangle
Triangle Classification By Angle Measures Acute Triangle Equiangular Triangle Right Triangle
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Obtuse Triangle One obtuse angle Triangle Classification
By Angle Measures Obtuse Triangle One obtuse angle
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Example 1A: Classifying Triangles by Angle Measures
Classify BDC by its angle measures.
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Example 1B: Classifying Triangles by Angle Measures
Classify ABD by its angle measures.
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Equilateral Triangle Isosceles Triangle Scalene Triangle
Triangle Classification By Side Lengths Equilateral Triangle Isosceles Triangle Scalene Triangle
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Remember! When you look at a figure, you cannot assume segments are congruent based on appearance. They must be marked as congruent.
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Example 2A: Classifying Triangles by Side Lengths
Classify EHF by its side lengths.
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Example 2B: Classifying Triangles by Side Lengths
Classify EHG by its side lengths.
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Example 3: Using Triangle Classification
Find the side lengths of JKL.
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Check It Out! Example 3 Find the side lengths of equilateral FGH.
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