Triangles and its properties

Properties


Definition oF Triangle


1)A triangle is a polygon that has three sides. It can also be defined by a figure bounded or enclosed by three-line segments.

2) A triangle will have three sides and three vertices.


Types Of Triangles

Types Of Triangles By sides are:1)Equilateral Triangle 2)Isosceles Triangle 3)Scalene Triangle

1)Equilateral Triangle:Equilateral triangle have three equal sides

2)Isosceles Triangle:Isosceles Triangle have two sides

3)Scalene Triangle:Scalene Triangle have no equal sides

Types Of Triangles By Angles are:1)Acute Triangle 2)Right Triangle 3)Obtuse Triangle

1)Acute Triangle:Acute Triangle has three angles <90*

2)Right Triangle:Right Triangle has one angle =90*

3)Obtuse Triangle:Obtuse triangle has >90*


The properties of the triangle are

1) The sum of all the angles of a triangle (of all types) is equal to 180°.

2)The sum of the length of the two sides of a triangle is greater than the length of the third side.

3)In the same way, the difference between the two sides of a triangle is less than the length of the thid side.

4)The side opposite the greater angle is the longest side of all the three sides of a triangle.

5)The exterior angle of a triangle is always equal to the sum of the interior opposite angles. This property of a triangle is called an exterior angle property.

6)Two triangles are said to be similar if their corresponding angles of both triangles are congruent and the lengths of their sides are proportional.

7)Area of a triangle = ½ × Base × Height

8)The perimeter of a triangle = sum of all its three sides