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# Classify Triangles

Sep 20, 2022

## Key Concepts

• Classify triangles based on their sides and angles

## Types of Triangles

The triangles are classified based on sides and angles.

Based on lengths of sides, the triangles are classified as follows:

1. Equilateral triangle
2. Isosceles triangle
3. Scalene triangle

### Equilateral Triangle

A triangle in which all its three sides are equal in length is called an equilateral triangle.

Examples:

### Isosceles Triangle

A triangle in which two of its sides are equal is called an isosceles triangle.

Examples:

### Scalene Triangle

A triangle in which all three sides are unequal in length is called a scalene triangle.

Examples:

Based on angles, the triangles are classified as follows:

1. Acute triangle
2. Obtuse triangle
3. Right triangle

### Acute Triangle

A triangle in which all the three angles are acute (i.e., less than 90°) is called an acute-angled triangle or acute triangle.

Examples:

### Obtuse Triangle

A triangle in which one angle is obtuse (i.e., more than 90° but less than 180°) is called an obtuse-angled triangle or obtuse triangle.

Examples:

### Right Triangle

A triangle in which any one of the angles is a right angle (i.e., 90°) is called a right-angled triangle or right triangle.

Examples:

## Exercise

• Classify each triangle by its sides and by its angles.

### What have we learned

• Classfication of triangles based on sides.
• Classfication of triangles based on angles.

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