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Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3.

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Warm Up Classify each angle as acute, obtuse, or right. 1. 2. 3. 4. If the perimeter is 47, find x and the lengths of the three sides. right. acute. obtuse. x = 5; 8; 16; 23. Classifying Triangles. Section 4-1. Classify Triangles by Angles.

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slide1

Warm Up

Classify each angle as acute, obtuse, or right.

1.2.

3.

4. If the perimeter is 47, find x and the lengths of the three sides.

right

acute

obtuse

x = 5; 8; 16; 23

classify triangles by angles
Classify Triangles by Angles

By Angle Measures

Acute Triangle

Three acute angles

slide4

Classify Triangles by Angles

By Angle Measures

Equiangular Triangle

Three congruent acute angles

slide5

Classify Triangles by Angles

By Angle Measures

Right Triangle

One right angle

slide6

Classify Triangles by Angles

By Angle Measures

Obtuse Triangle

One obtuse angle

slide7

Example: Classifying Triangles by

Angle Measures

Classify BDC by its angle measures.

Classify ADC by its angle measures.

Classify ABD by its angle measures.

slide8

Example:

Classify FHG by its angle measures.

classify triangles by sides
Classify Triangles by Sides

By Side Lengths

Equilateral Triangle

Three congruent sides

slide10

Classify Triangles by Sides

By Side Lengths

Isosceles Triangle

At least two congruent sides

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Classify Triangles by Sides

By Side Lengths

Scalene Triangle

No congruent sides

slide12

Example: Classifying Triangles by Side Lengths

Classify EHF by its side lengths.

Classify EHGby its side lengths.

slide13

Example:

Classify ACD by its side lengths.

slide14

Example: Using Triangle Classification

Find the side lengths of JKL.

slide15

Example:

Find the side lengths of equilateral FGH.

classify triangles given vertices
Classify Triangles Given Vertices
  • Example: Classify ABC.

A(2, 4), B(3, -1), C(-4, 3)

slide17

Lesson Quiz

Classify each triangle by its angles and sides.

1. MNQ

2.NQP

3. MNP

4. Find the side lengths of the triangle.

acute; equilateral

obtuse; scalene

acute; scalene

29; 29; 23

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