Perimeter Calculator Triangle

Triangle Perimeter Calculator

Enter side lengths and click 'Calculate Perimeter'.

Please enter valid positive numbers for all side lengths.

These side lengths do not form a valid triangle. The sum of any two sides must be greater than the third side.

' + perimeter.toFixed(2) + ' units

A triangle is one of the most fundamental shapes in geometry, a polygon with three edges and three vertices. Its simplicity belies its importance in various fields, from architecture and engineering to art and design. One of the most basic properties we can measure for any triangle is its perimeter.

What is Perimeter?

In geometry, the perimeter of a two-dimensional shape is the total distance around its boundary. Think of it as walking along all the edges of the shape and measuring the total distance covered. For a triangle, which has three sides, the perimeter is simply the sum of the lengths of those three sides.

How to Calculate the Perimeter of a Triangle

The formula for the perimeter of any triangle is straightforward:

Perimeter (P) = Side A + Side B + Side C

Where:

• Side A is the length of the first side.
• Side B is the length of the second side.
• Side C is the length of the third side.

This formula applies universally, regardless of the type of triangle (e.g., equilateral, isosceles, or scalene).

Types of Triangles and Their Perimeters:

• Scalene Triangle: All three sides have different lengths. You simply add the three unique lengths.
• Isosceles Triangle: Two sides have equal lengths. If Side A = Side B, then P = 2 * Side A + Side C.
• Equilateral Triangle: All three sides have equal lengths. If Side A = Side B = Side C, then P = 3 * Side A.

Using the Triangle Perimeter Calculator

Our online calculator simplifies this process for you. Just follow these steps:

1. Enter Side A Length: Input the length of the first side of your triangle into the designated field.
2. Enter Side B Length: Input the length of the second side.
3. Enter Side C Length: Input the length of the third side.
4. Click "Calculate Perimeter": The calculator will instantly display the total perimeter of your triangle.

Examples of Triangle Perimeter Calculation

Example 1: A Scalene Triangle

Imagine a triangle with sides measuring 7 cm, 10 cm, and 12 cm.

• Side A = 7 cm
• Side B = 10 cm
• Side C = 12 cm

Perimeter = 7 cm + 10 cm + 12 cm = 29 cm

Example 2: An Isosceles Triangle

Consider an isosceles triangle where two sides are 8 meters long, and the third side is 6 meters long.

• Side A = 8 m
• Side B = 8 m
• Side C = 6 m

Perimeter = 8 m + 8 m + 6 m = 22 m

Example 3: An Equilateral Triangle

For an equilateral triangle, all sides are equal. Let's say each side is 5 inches.

• Side A = 5 inches
• Side B = 5 inches
• Side C = 5 inches

Perimeter = 5 inches + 5 inches + 5 inches = 15 inches

Why is Calculating Perimeter Important?

Knowing how to calculate the perimeter of a triangle has practical applications in many real-world scenarios:

• Construction: Determining the amount of fencing needed for a triangular plot of land, or the length of trim for a triangular window.
• Gardening: Planning the border for a triangular flower bed.
• Crafts and Design: Measuring materials for sewing, quilting, or creating artistic designs.
• Sports: Laying out boundaries for triangular playing fields.

This simple calculation is a foundational concept in geometry that proves useful in countless everyday situations.