Perimeter of a Triangle Calculator

Perimeter of Triangle -The perimeter of a triangle is the distance covered around the triangle and is calculated as the sum of all the three sides of it.

Perimeter of a Triangle Calculator

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Here are some samples of Perimeter of a Triangle calculations

  • Perimeter of a Triangle 43 cm by 56 cm by 30 cm
  • Perimeter of a Triangle 98 cm by 79 cm by 51 cm
  • Perimeter of a Triangle 60 cm by 42 cm by 68 cm
  • Perimeter of a Triangle 63 cm by 78 cm by 60 cm
  • Perimeter of a Triangle 53 ft by 74 ft by 48 ft
  • Perimeter of a Triangle 15 ft by 75 ft by 75 ft
  • Perimeter of a Triangle 88 ft by 39 ft by 51 ft
  • Perimeter of a Triangle 17 ft by 46 ft by 42 ft
  • Perimeter of a Triangle 58 in by 24 in by 68 in
  • Perimeter of a Triangle 54 in by 90 in by 47 in
  • Perimeter of a Triangle 95 in by 97 in by 51 in
  • Perimeter of a Triangle 49 in by 47 in by 22 in
  • Perimeter of a Triangle 45 m by 99 m by 81 m
  • Perimeter of a Triangle 22 m by 58 m by 59 m
  • Perimeter of a Triangle 59 m by 92 m by 58 m
  • Perimeter of a Triangle 76 m by 74 m by 69 m
  • Perimeter of a Triangle 13 yd by 61 yd by 64 yd
  • Perimeter of a Triangle 29 yd by 44 yd by 56 yd
  • Perimeter of a Triangle 31 yd by 66 yd by 64 yd
  • Perimeter of a Triangle 47 yd by 18 yd by 54 yd
  • Perimeter of a Triangle 7 ft by 2 m by 4 yd
  • Perimeter of a Triangle 4 m by 5 yd by 8 ft
  • Perimeter of a Triangle 3 yd by 4 m by 8 ft
  • Perimeter of a Triangle 6 yd by 5 yd by 7 m
  • Perimeter of a Triangle 8 ft by 3 yd by 3 yd
  • Perimeter of a Triangle 8 ft by 4 yd by 6 ft
  • Perimeter of a Triangle 8 ft by 4 cm by 8 ft
  • Perimeter of a Triangle 6 m by 7 m by 6 ft
  • Perimeter of a Triangle 29 ft by 9 yd by 80 cm
  • Perimeter of a Triangle 44 in by 7 in by 96 cm
  • Perimeter of a Triangle 21 yd by 8 ft by 57 ft
  • Perimeter of a Triangle 47 in by 2 yd by 86 cm
  • Perimeter of a Triangle 59 ft by 6 yd by 54 ft
  • Perimeter of a Triangle 35 yd by 9 m by 43 yd
  • Perimeter of a Triangle 26 yd by 8 m by 28 m
  • Perimeter of a Triangle 89 cm by 2 m by 77 in
  • Perimeter of a Triangle 90 cm by 2 ft by 40 in
  • Perimeter of a Triangle 33 cm by 3 ft by 34 in
  • Perimeter of a Triangle 24 cm by 4 ft by 52 in
  • Perimeter of a Triangle 28 cm by 4 ft by 58 in
  • Perimeter of a Triangle 23 yd by 18 yd by 17 ft
  • Perimeter of a Triangle 61 yd by 73 m by 27 yd
  • Perimeter of a Triangle 90 yd by 58 yd by 49 m
  • Perimeter of a Triangle 53 yd by 65 yd by 56 ft
  • Perimeter of a Triangle 75 m by 78 yd by 61 ft
  • Perimeter of a Triangle 19 in by 79 cm by 20 in
  • Perimeter of a Triangle 13 in by 74 cm by 92 cm
  • Perimeter of a Triangle 10 yd by 10 yd by 96 in
  • Perimeter of a Triangle 20 m by 48 m by 69 yd
  • Perimeter of a Triangle 94 in by 44 cm by 93 in
  • Perimeter of a Triangle 57 m by 59 yd by 47 m
  • Perimeter of a Triangle 45 ft by 62 yd by 49 yd
  • Perimeter of a Triangle 38 m by 46 yd by 61 m
  • Perimeter of a Triangle 25 yd by 31 m by 97 ft
  • Perimeter of a Triangle 74 in by 59 cm by 79 in
  • Perimeter of a Triangle 59 m by 75 yd by 94 m
  • Perimeter of a Triangle 44 yd by 82 m by 94 m
  • Perimeter of a Triangle 34 in by 21 in by 49 cm
  • Perimeter of a Triangle 35 ft by 77 cm by 12 yd
  • Perimeter of a Triangle 83 ft by 84 ft by 38 yd

  • Perimeter of a Triangle Calculator: Looking for a handy and quick online calculator to find out the triangle perimeter then this is the right destination for you. You can easily calculate the Perimeter of a Triangle by giving your required inputs in our Perimeter of a Triangle Calculator. After entering the inputs it calculates the Triangle Perimeter and displays the output just like that along with step by step explanation.

          Look no further for any other because our Triangle Perimeter Calculator is the best out of all. Check further for more information like what is the perimeter of a triangle and formula, how to find the perimeter of various types of a triangle when all side lengths are given, and how to use our Perimeter of a Triangle Calculator. Also, you can look at some solved examples for each type of triangle perimeter formulas from here.

    What is the Perimeter of a Triangle?

    The definition of the Perimeter of a Triangle is a distance around the shape ie., Triangle. In other words, the perimeter of any 2D closed figure or shape= sum of all its sides. The formula of the Perimeter of a Triangle is illustrated below with a detailed explanation.

    Let's have a look at the formulas and memorize them carefully to find the Perimeter of a Triangle in just a fraction of seconds.

    Perimeter of a Triangle formula

    1. The most commonly used formula for finding the perimeter of a triangle is by adding all sides. i.e., Triangle Perimeter = a + b + c.

    2. Yet, you won't give three sides always. In this scenario you can do like this, use the law of cosines to find the missing side:

    c = √(a² + b² - 2ab * cos(γ))

    This can be combined into the perimeter formula, i.e., Triangle Perimeter = a + b + √(a² + b² - 2ab * cos(γ)).

    3. One more option is using the law of sines, in case you have one side and the two angles that are formed by that side:

    b = sin(β) * a / sin(β + γ)

    c = sin(γ) * a / sin(β + γ)

    So the triangle perimeter may be stated as Triangle Perimeter = a + (a / sin(β + γ)) * (sin(β) + sin(γ)).

    How to Find Perimeter of a Triangle?

    Finding the perimeter of a triangle means finding the distance around the triangle. The simplest way to find the perimeter of a triangle is to add up the length of all of its sides, but if you don't know all of the side lengths you will need to calculate them first by using other suitable formulas.

    1. Finding the Perimeter of a Triangle with all three sides (SSS):

    The formula for the perimeter of a closed shape is normally equal to the length of all sides of the shape. Therefore, in the case of a triangle, the perimeter will be the sum of all the three sides.

    For a triangle to exist some conditions need to be met and they are as follows,

    a+b> c

    b+c> a

    c+a> b

    Hence, the formula for the Perimeter of a Triangle when you have all sides is, P= a+b+c.

    Where, a, b, c designates the sides of the triangle.

    Solved Examples

    Question 1: Find the Perimeter of a Triangle whose sides are 4 centimeters, 3 centimeters, and 2 centimeters?

    Solution:

    First, take the given triangle sides, they are 4 cm, 3 cm, and 2 cm.

    Assume a = 4 cm, b = 3 cm and c = 2 cm then calculate triangle perimeter.

    The formula for Perimeter of a triangle = Sum of all sides

    ⇒ P = a + b + c

    ⇒ Perimeter = 4 cm + 3 cm + 2 cm = 9.0 cm.

    Here it met all three conditions, so Perimeter of a Triangle whose sides are 4 cm, 3 cm, and 2 cm is 9.0 cm.

    Question 2: Find the perimeter of an equilateral triangle whose side is 2 cm?

    Solution:

    Being an equilateral triangle, all the sides are equal.

    Thus, a = 2

    Perimeter of an equilateral triangle= a + b + c = a + a + a = 3a

    = 3 x a = 3 x 2

    = 6 cm

    Therefore, Perimeter of an equilateral triangle whose sides are equal i.e., a=2 cm is 6.0 cm.

    Question 3: Find the perimeter of an isosceles triangle whose sides are equal sides is 4 cm and the third side is 6 cm?

    Solution:

    Being an isosceles triangle, two sides are equal.

    Thus, a = 4, b = 4 and c = 6

    Perimeter of an isosceles triangle= a +b + c = a + a + c = 2a + c

    = 2 x a + 8 = 2 x 4 + 6

    = 14 cm

    Therefore, Perimeter of an isosceles triangle whose sides are 4 cm, 4cm, and 6 cm is 14.0 cm.

    2. Finding the Perimeter of a Triangle with Two Sides and Angle between them (SAS):

    • First and foremost, take the given length of two sides and angle of one side.
    • Use the law of cosines to calculate the third side and then find the perimeter of a triangle.
    • The formula to find the third side is c= √(a² + b² - 2ab * cos(γ)).​
    • Now place the length and angle values in the above formula and calculate the C length.
    • After finding the C value, easily you can find the perimeter of a triangle(SAS) using formula i.e., P = a+b+c.

    3. Finding the Perimeter of a Triangle with one side and two angles (ASA):

    For suppose, you have input say two angles and one length of the triangle then this method will be helpful for you to calculate the perimeter of a triangle easily:

    • Initially, write down all given inputs here and then use the law of sines to find the other two sides of the triangle.
    • The formulas you need to apply to calculate two sides are b = sin(β) * a / sin(β + γ) and c = sin(γ) * a / sin(β + γ).
    • Apply the input angles and one length value in the above formulas and calculate the two side values.
    • Finally, we have all three sides lengths so apply them in the formula of the perimeter of a triangle(ASA) i.e., P= a+b+c.

    How to Use our Perimeter of a Triangle calculator?

    By following the below simple steps you will completely understand how to use our Perimeter of a Triangle Calculator. Once you know how it works then you will surely love our online free calculator to find triangle perimeter.

    1. Firstly, you should give your inputs in the respective fields available on the screen.
    2. Then, select the units like cm,m, ft, yd, mi, etc. by clicking on the desired one from the drop-down list.
    3. After giving all your required inputs, simply tap on the blue colored "Perimeter" button.
    4. Later, our Perimeter of a Triangle Calculator displays the solution below the button along with a detailed explanation.

    FAQs on Finding Triangle Perimeter

    1. How do you find the perimeter of a triangle?

    Memorize the Perimeter of a triangle formula and easily find the result for your inputs. For example, If you take a triangle with sides a, b and c, the perimeter P is defined as P = a + b + c.

    2. What is the sum of the perimeter of a triangle?

    The Perimeter of the Triangle = Sum of the Sides. For instance, if you enter a=2 cm, b=4 cm, c=3 cm then the triangle perimeter = 2 cm + 4 cm + 3 cm (add the length of each side of the triangle).

    3. Can a triangle have the same area and perimeter?

    The area is measured in square units and the perimeter is measured in length units. Any triangles with the same perimeter and area and with one side the same are congruent.

    4. What is meant by the Perimeter of a Triangle?

    The perimeter of a triangle is the total distance around the edges of a triangle. In a nutshell, the length of the boundary of a triangle is its perimeter.


    Perimeter of a Triangle Calculator