10 Important Properties of a Triangle

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Properties of a Triangle

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A polygon with three sides is called a triangle.

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Property 1

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Property 2

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Property 3

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Property 4

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Property 5

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Property 6

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Property 7

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Property 8

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Area of a Triangle

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Property 10

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10 Important Properties of a Triangle

CBSE Math Exam Notes

Properties of a Triangle

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A polygon with three sides is called a triangle.

Triangle

Property 1

Angle Sum Property

The sum of the interior angles of a triangle is supplementary (180 degrees).

Property 2

The sum of lengths of any two sides of a triangle is greater than the length of the third side.

Property 3

The difference of the lengths of any two sides of a triangle is smaller than the length of the third side.

Property 4

In a triangle, the angle opposite to the longer side is the greatest angle.

Relation between sides and angles of a triangle

Property 5

In a triangle, the angle opposite to the shorter side is the smallest angle.

Relation between sides and angles of a triangle

Property 6

An exterior angle of a triangle equals the sum of the two non adjacent interior angles.

Exterior Angle Property

Property 7

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the remaining two sides.

Pythagoras Property

Property 8

Congruence Property

Area of a Triangle

The area of a triangle is the entire amount of space inside the triangle.

Property 9

Property 10

The perimeter of a triangle = sum of all its three sides.

Perimeter of a Triangle