Classifying Triangles By Sides Or Angles

posted on: 13 Apr, 2012 | updated on: 29 Sep, 2012

We know that a triangle is a Polygon which has three sides, 3 angles & 3 vertices. Now the Triangles can be classified further on the basis of the length of their sides & also on the basis of their angle measure. We will first learn about classifying triangles by sides.
On the basis of the measure of the sides of a triangle, we classify those follows:
Scalene Triangle: If all the sides of a triangle are unequal, it is called scalene. Example: The triangle with sides 5m, 2m, 4m.
Isosceles Triangle: If two sides of a triangle are equal, it is called isosceles. Example: A triangle with sides 3cm, 3cm, 6cm.
Equilateral Triangle: If all sides of a triangle are equal, it is called equilateral. Example: A triangle with sides 4cm, 4cm, 4cm.
After classifying the triangles by sides, we’ll learn classifying triangles by angles. For this, we must first recall the following kinds of angles:
Acute: An angle which is more than 0 degree but less than 90 degrees is acute.
Right: An angle of exactly 90 degrees.
Obtuse: An angle which is more than 90 degree but less than 180 degrees is obtuse.
For classifying triangles by angles, we check the measure of angles of the triangle. On this basis, the angles are classified in the following groups:
Acute angled Triangle: If all the angles of a triangle are acute, it is called an acute angled triangle.
Right angled triangle: If one of the angles of a triangle measures 90 degrees, it is called right angled triangle.
Obtuse angled triangle: If one of the angles of a triangle is obtuse, it is called obtuse angled triangle.
Remember that in a right angled triangle as well as an obtuse angled triangle, the other two angles are always acute.

Topics Covered in Classifying Triangles By Sides Or Angles

Equilateral Triangle

posted on: 18 Apr, 2012 | updated on: 13 Sep, 2012

We know that a triangle is a closed figure made up of 3 line segments. It is a Polygon with 3 sides, 3 vertices & 3 angles. On two different basis, the Triangles are grouped into two categories. One is on the basis of measure of length of its sides & the other, on the basis of the measure of its angles.

On the basis of measure of length of sides, the triangle...Read More

Acute Triangle

posted on: 18 Apr, 2012 | updated on: 01 Sep, 2012

We know that a triangle is a closed rectilinear figure made up of 3 line segments. It is a Polygon with 3 sides (or edges), 3 vertices (or corners) & 3 angles. The Triangles are grouped into two categories on two different criterions; one is on the basis of measure of length of its sides & the other on the basis of the measure of its angles.
On the basis of measure of le...Read More

Equiangular Triangle

posted on: 21 Apr, 2012 | updated on: 03 May, 2012

A triangle is a Polygon formed by joining three line segments and thus forming a closed figure. There are different types of Triangles. We name here some of them as acute angled triangle, obtuse angle triangle, right angled triangle. If we look at the triangles, they are also classified based on the length of the sides of the triangle.
Here we are going to work on ...Read More

Scalene Triangle

posted on: 21 Apr, 2012 | updated on: 11 Sep, 2012

The figures, which have the same starting and the ending points are called the closed curves. Polygons are also the examples of the closed curves, which are formed by line segments. These are the figures formed by joining 3 or more line segments and so they form the closed figures.
We say that the polygons with three line segments are Triangles. And this way more dif...Read More

Isosceles Triangle

posted on: 21 Apr, 2012 | updated on: 29 Sep, 2012

A Polygon with three sides is called a triangle. A triangle is called an isosceles triangle, when we find that the two sides of the triangle are equal, and then the Triangles are called isosceles triangles. In case the triangle is isosceles, we observe that as its two sides are equal, then the angles formed by its two sides are also equal. So if one of the angles of a...Read More

Obtuse Triangle

posted on: 25 Apr, 2012 | updated on: 26 Apr, 2012

We know that a triangle is a closed figure drawn with the help of 3 line segments. It is a Polygon which has 3 sides, 3 vertices & 3 angles. The Triangles are grouped into two major categories, on the basis of measure of length of its sides & other on the basis of the measure of its angles.
On the basis of measure of their sides, the triangles may be classified as Scale...Read More