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 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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Question : 2

Find the perimeter of an equilateral triangle with one side of 2.5 m.

Right Option : D
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Question : 3

If the perimeter of the triangle is frac{77}{8};cmand two sides of the triangle are frac{3}{8};cm,;frac{5}{7};cm, then find the measure of the third side.

Right Option : C
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Explanation
 
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