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Classifying Triangles. Geometry (Holt 4-2) K. Santos. Triangle. Triangle—is a figure with 3 sides A B C Sides , , Vertices (vertex) points: A, B and C. Triangle Classification—By Angle Measurements. Acute triangle—3 acute angles

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Classifying triangles

Classifying Triangles

Geometry (Holt 4-2) K. Santos


Triangle
Triangle

Triangle—is a figure with 3 sides

A

B C

Sides

, ,

Vertices (vertex)

points: A, B and C


Triangle classification by angle measurements
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 the triangles--Angles

Classify each triangle by its angle measures

A B

D C

BDC

obtuse triangle

BDA

Acute triangle


Triangle classification by side lengths
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 the triangle--sides

Classify each triangle by its side lengths. H 12 11 E 10 F GTriangle EHF

isosceles triangle

Triangle EHG

scalene triangle


Finding side lengths
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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