Triangles – Definition, Types and Properties

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DefinitionTriangle can be defined as a closed shaped two dimensional, plane figure with 3 vertices and 3 straight sides.

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Triangle can also be defines as – a closed polygon with 3 sides and 3 vertices.

Definition of Polygon : A closed shaped, 2 dimensional, plane figure with minimum of 3 vertices, and 3 sides and maximum of n vertices and n sides.

Polygons- engineinside

Types of triangle –

B. On the basis of angles ;
1. Acute angled triangle – all interior angles are less than 90 degree.
2. Obtuse angled triangle – any one of interior angle is more than 90 degree.

3. Right angled triangle – Any one of the interior angle equals 90 degree.

types of triangle -Engineinside

 

Properties of a triangle ;

1. Triangle has 3 sides and 3 angles.
2. Sum of all the angles of a triangle is always 180 degree.
3. Exterior angles of triangle always adds upto 360 degree.

triangle properties – engineinside

4. Sum of consecutive interior and exterior angles is supplementary.

5. Sum of lengths of any 2 sides of triangle is always greater than the third side, following which the difference between any 2 sides is always less than the third side.
6. Shortest side always lies opposite the smallest angle and longest side always lies opposite the largest angle.

Exterior angle property – engineinside

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