Classification of triangles

=Triangles differentiated on the basis of their sides=

Equilateral Triangles:
A triangle with all sides equal to one another is called an equilateral triangle.

Isosceles Triangle:
A triangle with a pair of equal sides is called an isosceles triangle.

Scalene Triangle:
A triangle in which all the sides are of different lengths and no two sides are equal, the triangle is called a scalene triangle. = Triangles differentiated on the basis of their angles. =

Acute angled triangle.
A triangle whose all angles are acute is called an acute-angled triangle or simply an acute triangle.



Right angle triangle
A right triangle has one angle 90°

Right Isosceles Triangle
If a triangle has a right angle (90°), and also two equal angles, can you guess what the equal angles are?

The Obtuse Triangle
The Obtuse Triangle has an obtuse angle (an obtuse angle has more than 90°). In the picture on the left, the shaded angle is the obtuse angle that distinguishes this triangle. Since the total degrees in any triangle is 180°, an obtuse triangle can only have one angle that measures more than 90°.

* for geogebra link on types of triangles [click here]

=Angles in a triangle=

Interior angles of a triangle
The interior angles are those on the inside of the triangle.

Exterior Angles of a triangle
An exterior angle is formed by extending any side of the triangle.

Image Acknowledgement: Mathsisfun.com