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Classifying Triangles

This resource provides a comprehensive guide to classifying triangles based on their angles and side lengths. It introduces basic concepts such as the definition of a triangle, the significance of vertices A, B, and C, and details on classification by angle measurements: acute, right, and obtuse triangles. Additionally, it covers classification by side lengths, including equilateral, isosceles, and scalene triangles. The material further includes examples and exercises to enhance understanding of how to find side lengths and classify different types of triangles.

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Classifying Triangles

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  1. Classifying Triangles Geometry (Holt 4-2) K. Santos

  2. Triangle Triangle—is a figure with 3 sides A B C Sides , , Vertices (vertex) points: A, B and C

  3. Triangle Classification—By Angle Measurements Acute triangle—3 acute angles Equiangular triangle—3 congruent acute angles Right Triangle—one right angle Obtuse Triangle—one obtuse angle

  4. Classify the triangles--Angles Classify each triangle by its angle measures A B D C BDC obtuse triangle BDA Acute triangle

  5. Triangle Classification—By Side Lengths Equilateral Triangle: 3 congruent sides Isosceles Triangle: at least 2 congruent sides Scalene Triangle: no congruent sides

  6. Classify the triangle--sides Classify each triangle by its side lengths. H 12 11 E 10 F GTriangle EHF isosceles triangle Triangle EHG scalene triangle

  7. Finding side lengths F Find the side lengths of the triangle. 3y – 4 5y - 10 G 2y + 3 H GF = GH 3y – 4 = 2y + 3 y – 4 = 3 y = 7 GF = 3y – 4 GH = 2y + 3FH = 5y – 10 GF = 3(7) – 4GH = 2(7) + 3FH = 5(7) -10 GF = 17GH = 17FH = 25

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