## What are two ways to classify triangles?

**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. - Scalene
**Triangle**: A**triangle**where all three sides are different lengths. - Isosceles
**Triangle**: A**triangle**with at least**two**congruent sides.

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

**Classifying Triangles** by **Sides**

- scalene
**triangle**-a**triangle**with no congruent**sides**. - isosceles
**triangle**-a**triangle**with at least 2 congruent**sides**(i.e. 2 or**3**congruent**sides**) - equilateral
**triangle**-a**triangle**with exactly**3**congruent**sides**. - NOTE: Congruent
**sides**means that the**sides**have the same length or measure.

## How do you classify an acute triangle?

**Triangles** can also be classified by their angles. In an **acute triangle** all three angles are **acute** (less than 90 degrees). A right **triangle** contains one right angle and two **acute** angles. And an **obtuse triangle** contains one **obtuse** angle (greater than 90 degrees) and two **acute** angles.

## How do you classify congruent triangles?

ASA: If two angles and the included side of one **triangle** are **congruent** to the corresponding parts of another **triangle**, then the **triangles** are **congruent**. SAS: If any two angles and the included side are the same in both **triangles**, then the **triangles** are **congruent**.

## What are the 7 types of 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 use the Pythagorean theorem to classify triangles?

**Classifying Triangles** by **Using** the **Pythagorean Theorem**

If you plug in 5 for each number in the **Pythagorean Theorem** we get 52+52=52 and 50>25. Therefore, if a2+b2>c2, then lengths a, b, and c make up an acute **triangle**. Conversely, if a2+b2

## How do you classify triangles with side lengths?

Equilateral **triangle**: A **triangle** with three **sides** of equal **length**. Isosceles **triangle**: A **triangle** with at least two **sides** of equal **length**. Line of symmetry: A line through a figure that creates two halves that match exactly. Obtuse angle: An angle with a measure greater than 90 degrees but less than 180 degrees.

## How do you classify triangles by sides obtuse or acute?

An **acute triangle** has three angles that each measure less than 90 degrees. An **obtuse triangle** is a **triangle** with one angle that is greater than 90 degrees. A **right triangle** is a **triangle** with one 90 degree angle.

## What are different triangles called?

There are **different** names for the **types of triangles**. A **triangle’s** type depends on the length of its sides and the size of its angles (corners). There are three **types of triangle** based on the length of the sides: equilateral, isosceles, and scalene.

## What are the six types of triangles?

**The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.**

- An isosceles
**triangle**is a**triangle**with two congruent sides and one unique side and angle. - An equilateral
**triangle**is a**triangle**with three congruent sides and three congruent angles.

## Can SSA prove triangles congruent?

The **SSA** (or ASS) combination deals with two sides and the non-included angle. This combination is humorously referred to as the “Donkey Theorem”. **SSA** (or ASS) is NOT a universal method to **prove triangles congruent** since it cannot guarantee that the shapes of the **triangles** formed **will** always be the same.

## Can SSS prove triangles congruent?

Side-Side-Side (**SSS**) Rule

Side-Side-Side is a rule used to **prove** whether a given set of **triangles** are **congruent**. The **SSS** rule states that: If three sides of one **triangle** are equal to three sides of another **triangle**, then the **triangles** are **congruent**.