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Classifying Triangles Geometry (Holt 4-2) K. Santos Triangle Triangle—is a figure with 3 sides A B Sides , , Vertices (vertex) points: A, B and C C 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 Classify the triangles-Angles Classify each triangle by its angle measures A B D ∆BDC obtuse triangle ∆BDA Acute triangle C Triangle Classification— By Side Lengths Equilateral Triangle: 3 congruent sides Isosceles Triangle: at least 2 congruent sides Scalene Triangle: no congruent sides Classify the triangle--sides Classify each triangle by its side lengths. 12 E Triangle EHF isosceles triangle Triangle EHG scalene triangle H 10 11 F G Finding side lengths Find the side lengths of the triangle. 3y – 4 G GF = GH 3y – 4 = 2y + 3 y–4=3 y=7 GF = 3y – 4 GF = 3(7) – 4 GF = 17 GH = 2y + 3 GH = 2(7) + 3 GH = 17 F 5y - 10 2y + 3 H FH = 5y – 10 FH = 5(7) -10 FH = 25