Perimeter of Triangle: The perimeter of any two-dimensional figure depends on the area around it. Any closed shape's perimeter can be calculated by adding the lengths of its sides. In this tutorial, you will first learn what the perimeter is and how to calculate it for different kinds of triangles with known side lengths. You'll be able to view the subject from more angles thanks to the solved instances. Join Safalta School Online and prepare for Board Exams under the guidance of our expert faculty. Our online school aims to help students prepare for Board Exams by ensuring that students have conceptual clarity in all the subjects and are able to score their maximum in the exams.
Table of content
- What is the Perimeter of a Triangle?
- Perimeter of Triangle Formula
- Perimeter of Right Triangle
The sum of the lengths of the sides is the perimeter of any polygon. In the case of a triangle-
Perimeter = Sum of the three sides
Always include units in the final answer. If the sides of the triangle are measured in centimetres, then the final answer should also be in centimetres.
The formula for the perimeter of a closed shape figure is usually equal to the length of the outer line of the figure. Therefore, in the case of a triangle, the perimeter will be the sum of all the three sides.
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Perimeter, P = a + b +c
This formula implies to find the perimeter of a triangle, add the lengths of all of its 3 sides together. If A, B and C are the side measures, and X is perimeter then A + B+ C = X
Perimeter of an Isosceles, Equilateral and Scalene Triangle
Where a, b, c, and l denote the side lengths and P denotes the perimeter.
To find the perimeter of a triangle, add the lengths of all three of its sides together. If A, B, and C are side measurements and X is the perimeter, then A+B+C= X
A right triangle has a base(b), hypotenuse(h) and perpendicular(p) as its sides, By the Pythagoras theorem, we know,
h square = b square + p square
Therefore, the Perimeter of a right angle triangle= b + p + h
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Let us consider some of the examples on the perimeter of a triangle:
Example 1: Find the perimeter of a polygon whose sides are 5 cm, 4 cm and 2 cm.
a = 5 cm
b = 4 cm
c = 2 cm
Perimeter = Sum of all sides = a + b + c = 5 + 4 + 2 = 11
Therefore, the answer is 11 cm.
Example 2: Find the perimeter of a triangle whose each side is 10 cm.
Solution: Since all three sides are equal in length, the triangle is an equilateral triangle.
i.e. a = b = c = 10 cm
Perimeter = a + b + c
= 10 + 10 + 10
Perimeter = 30 cm.
Example 3: What is the missing side length of a triangle whose perimeter is 40 cm and two sides are 10 cm each?
Perimeter = 40 cm
Length of two sides is the same i.e. 10 cm.
Thus, the triangle is an isosceles triangle.
Using formula: P = 2l + b
40 = 2 * 10 + b
40 = 20 + b
or b = 20
Missing side length is 20 cm.
What does the Perimeter of a Triangle Mean?
How to Calculate the Perimeter of a Triangle?
Calculate the Perimeter of a Right Triangle with Base as 3 cm and height as 4 cm.
First, using the Pythagorean theorem, calculate the hypotenuse of the right triangle.
h = √(32+42)
h = √(9 + 16)
h = √25
Or, h = 5 cm
So, the perimeter of the triangle = 3 + 4 + 5 = 12 cm.