Calculating Perimeter of Triangle


 
 
Concept Explanation
 

Calculating Perimeter of Triangle

Perimeter of Triangle: The total distance around the outside or boundary of a triangle.

Perimeter of any figure: Like any polygon, the perimeter is the total distance around the outside, which can be found by adding together the length of each side.

Or as a formula: Perimeter = a + b + c

where a,b and c are the lengths of each side of the triangle.

We will discuss here how to find the perimeter of a triangle. We know perimeter of a triangle is the total length (distance) of the boundary of a triangle.

The perimeter of a triangle ABC

Perimeter of a Triangle

                    = AB + BC + CA

                    = 2 cm + 4 cm + 3 cm = 9 cm (add the length of each side of the triangle)

therefore Perimeter of the triangle = Sum of the sides.

Illustration: If 2 sides of the triangle are 3cm, 7cm and perimeter is 55cm then what will be the length of the third side?

Solution: Let third side of triangle = x

As we know that Perimeter of triangle = Sum of its all sides

Hence, 55 = 3 + 7 + x

           55 = 10 + x

            55 - 10 = x

            x = 45 cm

Hence, third side of the triangle = 45cm

Sample Questions
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Question : 1

If a triangle has perimeter 9.65 m and the measure of its two sides are 3.79 m and 4.55 m respectively, then what will be the measure of its third side

Right Option : D
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Explanation
Question : 2

If the perimeter of the triangle is 72 ft and the two sides of the triangle are 7ft, 16 ft, then what will be the measure of its third side?

Right Option : C
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Explanation
Question : 3

Calculate the perimeter of a triangle if its sides are 3 dm, 41 dm, and 1589 dm respectively.

Right Option : C
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Explanation
 
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