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Classifying Triangles

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Classifying Triangles

Geometry (Holt 4-2)K. Santos

Triangle—is a figure with 3 sides

A

B C

Sides

, ,

Vertices (vertex)

points: A, B and C

Acute triangle—3 acute angles

Equiangular triangle—3 congruent acute angles

Right Triangle—one right angle

Obtuse Triangle—one obtuse angle

Classify each triangle by its angle measures

A B

D C

BDC

obtuse triangle

BDA

Acute triangle

Equilateral Triangle: 3 congruent sides

Isosceles Triangle: at least 2 congruent sides

Scalene Triangle: no congruent sides

Classify each triangle by its side lengths. H12 11 E 10 F GTriangle EHF

isosceles triangle

Triangle EHG

scalene triangle

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