Classifying triangles

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:
    1. By their side lengths
    2. 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

Angles and Polygons: Classifying triangles