Difference between revisions of "Classification of triangles"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
(Created page with "=Triangles differentiated on the basis of their sides= == Equilateral Triangles: == picture of equilateral triangle A triangle ...")
 
Line 19: Line 19:
 
   
 
   
 
==Acute angled triangle. ==
 
==Acute angled triangle. ==
A triangle whose all  
+
A triangle whose all angles are acute is called an acute-angled triangle or simply an acute triangle.
angles are acute is called an acute-angled triangle or simply an acute triangle.
 
  
 
[[Image:KOER%20Triangles_html_m62898a77.png]]
 
[[Image:KOER%20Triangles_html_m62898a77.png]]
  
[[Image:KOER%20Triangles_html_m732d9c3d.png]]A right triangle has one angle 90°  
+
==Right angle triangle==
 
+
[[Image:KOER%20Triangles_html_m732d9c3d.png]] A right triangle has one angle 90°  
'''Right Isosceles Triangle :'''
 
 
 
 
[[Image:KOER%20Triangles_html_m37b6213c.png]]Has
 
a right angle (90°), and also two equal angles
 
Can you guess what
 
the equal angles are?
 
  
 +
==Right Isosceles Triangle==
 
   
 
   
 
+
[[Image:KOER%20Triangles_html_m37b6213c.png]]
=The Obtuse 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==
  
 
[[Image:KOER%20Triangles_html_15a07649.png|Obtuse Triangle]]
 
[[Image:KOER%20Triangles_html_15a07649.png|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°.
 
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°.
  
+
=Angles in a triangle=
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
== Interior angles of a triangle ==
 
== Interior angles of a triangle ==
 
   
 
   
The interior angles are
+
The interior angles are those on the inside of the triangle.
those on the inside of the triangle.
 
 
 
 
 
 
 
 
 
 
[[Image:KOER%20Triangles_html_m55b3a2cf.png]]
 
[[Image:KOER%20Triangles_html_m55b3a2cf.png]]
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
 
   
 
== Exterior Angles of a triangle ==
 
== Exterior Angles of a triangle ==
 
   
 
   
An exterior angle is formed by extending any side
+
An exterior angle is formed by extending any side of the triangle.
of the triangle.
+
[[Image:KOER%20Triangles_html_9fb9ff3.png]]
 
 
 
  
  
 
+
'''Image Acknowledgement: Mathsisfun.com'''
 
[[Image:KOER%20Triangles_html_9fb9ff3.png]]
 

Revision as of 06:52, 6 December 2013

Triangles differentiated on the basis of their sides

Equilateral Triangles:

picture of equilateral triangle 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.

KOER Triangles html m34248090.png

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.

KOER Triangles html m62898a77.png

Right angle triangle

KOER Triangles html m732d9c3d.png A right triangle has one angle 90°

Right Isosceles Triangle

KOER Triangles html m37b6213c.png If a triangle has a right angle (90°), and also two equal angles, can you guess what the equal angles are?

The Obtuse Triangle

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°.

Angles in a triangle

Interior angles of a triangle

The interior angles are those on the inside of the triangle. KOER Triangles html m55b3a2cf.png

Exterior Angles of a triangle

An exterior angle is formed by extending any side of the triangle. KOER Triangles html 9fb9ff3.png


Image Acknowledgement: Mathsisfun.com