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Triangle Perimeter Calculator

Introduction

Welcome to our Triangle Perimeter Calculator! which will help you calculate the rectangle’s perimeter quickly and easily. A triangle is a polygon with three sides and three angles. The shape is formed when three straight lines meet. The point at which the lines meet is called a vertex, and a triangle has three vertices.

The perimeter of the triangle is the total distance around the shape. It is obtained by adding the length of the sides. It is commonly measured in units like centimeters, inches, meters, feet, etc.

How to use the Triangle Perimeter Calculator?

Using the Triangle Perimeter calculator, you can calculate the perimeter of the triangle by inputting the lengths of the sides of the triangle. We can calculate the perimeter for three types of triangles equilateral triangle, isosceles triangle, and scalene triangle.

Perimeter of an Equilateral Triangle

You can calculate the perimeter of an equilateral triangle by inputting the length of one side of the triangle.

The variables in the Triangle Perimeter Calculator include

Side (a): Length of the side of the equilateral triangle

Perimeter (P) The sum of the lengths of the three sides of the triangle

Perimeter of an Isosceles Triangle

You can calculate the perimeter of an isosceles triangle by inputting the length of one side of the equal side and the length of the unequal side of the isosceles triangle.

The variables in the calculator include

Side (a): Length of one of the equal sides of the isosceles triangle

Side 2 (b): Length of the unequal side of the isosceles triangle

Perimeter (P) The sum of the lengths of the three sides of the triangle

Perimeter of a Scalene Triangle

You can calculate the perimeter of a scalene triangle by inputting the lengths of each side.

The variables in the calculator include

First Side (a): Length of 1st side of the scalene triangle

Second Side (b): Length of 2nd side of the scalene triangle

Third Side (c): Length of 3rd side of the scalene triangle

Perimeter (P): The sum of the lengths of the three sides of the triangle

What is a Triangle?

A triangle is a 2-dimensional shape with three sides. It also has three interior angles and three vertices. Another thing to note is that the sum of the internal angles will always equal 180 degrees.

Basically, triangles can be classified based on the length of their sides or angles.

Based on Length of the Sides

  1. Equilateral Triangle: where all sides are equal.

  2. Isosceles Triangle: where two sides are equal.

  3. Scalene Triangle: where no side is equal.

Based on the Angles

  1. Acute Triangle: has all angles less than 90 degrees.

  2. Right Angle Triangle: one angle is equal to 90 degrees.

  3. Obtuse Triangle: one angle is greater than 90 degrees.

How is the Perimeter of the Triangle Calculated?

Perimeter is the distance around the shape; So, for a triangle, to calculate the perimeter, we have to add the lengths of the sides of the triangle.

We have different formulas to calculate the perimeter for different types of triangles. Those formulas are shown below.

Perimeter of an Equilateral Triangle

Since all sides of an equilateral triangle are equal, we need the length of one side of the equilateral triangle to calculate the perimeter.

The perimeter of the equilateral triangle is calculated by using the following formula.

P=3×aP = 3\times a

Where,

a = Length of the side of the Equilateral Triangle

Perimeter of an Isosceles Triangle

Two sides of an isosceles triangle are equal. The third side is of a different length than the other two sides. You can calculate the perimeter of the isosceles triangle using the following formula.

P=2×a+bP = 2 \times a + b

Where,

a = Length of one of the equal sides of the Isosceles Triangle

b = Length of Unequal side of the Isosceles Triangle

Perimeter of a Scalene Triangle

Since all sides of the scalene triangle are different lengths, to calculate the perimeter of the scalene triangle, we have to add the lengths of all three sides of the triangle.

P=a+b+cP = a + b + c

Where,

a = Length of 1st side of Triangle

b = Length of 2nd side of the Triangle

c = Length of 3rd side of the Triangle

Examples

Example 1

Given an equilateral triangle with a side of length 5 cm, what is the perimeter of the triangle?

We can calculate the perimeter of the equilateral triangle by using the following formula.

P=3×a=3×5=15  cm\begin{aligned} P &= 3\times a \\[10pt] &= 3 \times 5 \\[10pt] &= 15 \; cm \end{aligned}

From the above calculation, we can see that the perimeter of the equilateral triangle is 15 cm.

Example 2

Given an isosceles triangle, with the length of the equal side being 10 cm and the unequal side being 12 cm, what is the perimeter of the isosceles triangle?

We can calculate the perimeter of the isosceles triangle by using the following formula.

P=2×a+b=2×10+12=32  cm\begin{aligned} P &= 2 \times a + b \\[10pt] &= 2 \times 10 + 12 \\[10pt] &= 32 \; cm \end{aligned}

From the above calculation, we can see that the perimeter of the isosceles triangle is 32 cm.

Example 3

Given a scalene triangle, the lengths of each side equal 4 cm, 5 cm, and 6 cm. What is the perimeter of the scaling triangle?

We can calculate the perimeter of the scalene triangle by using the following formula.

P=a+b+c=4+5+6=15  cm\begin{aligned} P &= a + b + c \\[10pt] &=4 + 5 + 6 \\[10pt] &= 15 \; cm \end{aligned}

As shown above, in the calculation, we can see that the perimeter of the scalene triangle is 15 cm.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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