# What 4 ways can you classify triangles by its angles?

## What 4 ways can you classify triangles by its angles?

Resources

- Acute TriangleAn acute triangle has three angles that each measure less than 90 degrees.
- Equilateral TriangleAn equilateral triangle is a triangle in which all three sides are the same length.
- Obtuse TriangleAn obtuse triangle is a triangle with one angle that is greater than 90 degrees.

### What are the 3 ways we classify triangles by their angles?

According to the measure of interior angles, we can classify triangles into three categories:

- Acute-angled.
- Obtuse-angled.
- Right-angled.

#### What does it mean to classify a triangle by its angles?

To classify a triangle by angles means to categorize the triangle according to the types of angles that make up the triangle. To classify triangles by angles you must determine if each angle in the triangle is acute, right or obtuse.

**What are the 2 main ways to classify triangles?**

Math test: classifying triangles Triangles are classified, or grouped, in two different ways. One classification distinguishes among the sides, and another by the angles. For a triangle, you can have all three sides congruent (equal measure), or two sides congruent, or no sides congruent.

**What are the different ways to classify a triangle?**

Classifying Triangles

- Obtuse Triangle: A triangle with one obtuse angle.
- Acute Triangle: A triangle where all three angles are acute.
- Equiangular Triangle: A triangle where all the angles are congruent.
- Isosceles Triangle: A triangle with at least two congruent sides.

## What is the best classification of this triangle by its angles and sides?

Classification by Side Length | |
---|---|

Equilateral Triangle | All sides congruent |

Isosceles Triangle | At least two sides congruent |

Scalene Triangle | No sides congruent |

### How do we classify triangles?

When classifying a triangle by its sides, you should look to see if any of the sides are the same length. If no sides are the same length, then it is a scalene triangle. If two sides are the same length, then it is an isosceles triangle. If all three sides are the same length, then it is an equilateral triangle.

#### What are the 7 classifications of a triangle?

To learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.

**How do you classify a triangle by its side lengths?**

Classifying Triangles You can determine whether a triangle is acute, right, or obtuse by its side lengths. In TABC with longest side c: If c2 a2 b2, then TABC is acute. If c2 a2 b2, then TABC is right.

**How are triangles classified based on their sides and angles?**

Classify the triangles based on the congruent sides. An equilateral triangle has 3 congruent sides, an isosceles triangle has 2 congruent sides and triangles with unequal side lengths are scalene. For an acute triangle, all angles are <90°, a right triangle has one angle =90° and an obtuse triangle has one angle >90°.

## What kind of triangle has all angles of equal measure?

Equiangular triangle: A triangle having all angles of equal measure (Figure 7 ). Because the sum of all the angles of a triangle is 180°, the following theorem is easily shown. Theorem 27: Each angle of an equiangular triangle has a measure of 60°.

### How many sides does an equilateral triangle have?

An equilateral triangle has 3 congruent sides, an isosceles triangle has 2 congruent sides and triangles with unequal side lengths are scalene. For an acute triangle, all angles are <90°, a right triangle has one angle =90° and an obtuse triangle has one angle >90°.

#### What kind of triangle has 3 congruent sides?

Classify them as isosceles, equilateral and scalene after careful scrutiny. Classify the triangles based on the congruent sides. An equilateral triangle has 3 congruent sides, an isosceles triangle has 2 congruent sides and triangles with unequal side lengths are scalene.