# Classifying triangles

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###### Lessons

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##### Examples

###### Lessons

**Classifying triangles by side lengths**

Classify the triangle by its side lengths. Is it scalene, isosceles, or equilateral?**Classifying triangles by angles**

Classify the triangle by its angles. Is it acute, right, or obtuse?**Classifying triangles by more than one type**

Classify the triangle by BOTH its side length and angles. (scalene, isosceles, or equilateral; acute, right or obtuse)**Word Problems: Classifying Triangles**

Use this figure to answer the following questions:- If a triangle's side lengths are: 2cm, 1cm, and 1.73cm how would you classify it and why?
- If this triangle is a right triangle, what types of angles does it have?
- Is it possible for this triangle to have an obtuse angle? Why or why not?
- If this right triangle has one angle that is 30°, give the measures of all three of the angles.

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###### Topic Notes

In this lesson, we will learn:

- How to classify triangles by their side lengths
- How to classify triangles by their angles

__Notes:__- A
**triangle**is a 2-dimensional (2D) shape with__3 straight sides__and__3 angles__ - A triangle’s angles always add up to 180° degrees
**Triangles**can be**classified**in 2 ways:- By their
**side lengths** - By the size of their
**angles** - When looking at
**side lengths**, we classify triangles by__how many sides are the same__length (how many sides are “**congruent**”) - If
__no__sides are the same, it is a**scalene triangle** - If
__two__sides are the same, it is an**isosceles triangle** - If
__all three__sides are the same, it is an**equilateral triangle** - When looking at the
**angles**, we classify triangles by__its biggest angle__and comparing it with the**right angle**(are the angles smaller than, equal to, or greater than 90° degrees?) - If all of the angles are smaller than 90° , it is an
**acute triangle** - If one of the angles is exactly 90° , it is a
**right triangle** - If one of the angles is bigger than 90° , it is an
**obtuse triangle**

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