There are various types of triangles that can be classified based on the lengths of their sides or the measures of their angles. Triangles can be equilateral, isosceles, or scalene based on their sides, and acute, right, or obtuse based on their angles. Each type of triangle has defining characteristics for the lengths of its sides or measures of its angles.

1. Types of Triangles

2. 2
There are various types of triangles based
on sides and angles.
Madhavi_Dharankar_Advanced_Organiser_Mod
el

3. Types of Triangles
3
Based on Sides Based on Angles
Equilateral Acute angle triangle
Isosceles Right angle triangle
Scalene Obtuse angle triangle
Madhavi_Dharankar_Advanced_Organiser_Mod
el

4. Types of Triangles based on Sides
4
Equilateral Isosceles • Scalene
 Three sides  Two sides – All the
same same three
sides
 Three different
angles same Two angles

– All the
(60) same three
angles
different
Madhavi_Dharankar_Advanced_Organiser_Model

5. Types of Triangles based on Angles
5
Acute Right • Obtuse
 Three  One angle – One angle
angles acute right and obtuse
two angles and two
angles
acute
acute
 All acute – Both
angles same  Two acute acute
or two acute angles angles
angles same same or same or
or all three two acute both
angles acute
angles
angles
different different different
Madhavi_Dharankar_Advanced_Organiser_Mod
el

6. Types of Triangles based on Sides - Connection
6
Equilateral Isosceles • Scalene
Three sides – All the
  Two sides three
same same sides
 Three different
angles same  Two angles
(60) – All the
same three
 Acute angle  Acute or angles
triangles right or different
obtuse – Acute or
angle right or
obtuse
triangles angle
triangles
Madhavi_Dharankar_Advanced_Organiser_Mod
el

7. Types of Triangles based on Angles - Connection
7
 Acute  Right • Obtuse
 Three angles  One angle
– One angle
acute right and obtuse and
two angles
acute two angles
 Two acute acute
 All acute – Both acute
angles same angles same
or two acute or two acute angles
angles same angles same or
or all three different both acute
angles angles
different  Isosceles or different
 Equilateral scalene – Isosceles
or isosceles triangles or scalene
or scalene triangles
triangles
Madhavi_Dharankar_Advanced_Organiser_Mod
el

8. A Few More Questions
8
How could we name these triangles differently?
Can we challenge our beginning statement “There
are various types of triangles based on sides and
angles”?
What could be some other ways of classifying the
triangles?
Madhavi_Dharankar_Advanced_Organiser_Mod
el