Triangle perimeter calculator

Calculate a triangle’s perimeter from three sides and check whether the lengths can form a valid triangle.

Enter three positive side lengths in the same unit. Calculate their sum with automatic triangle-inequality validation.

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Set your data

Enter three positive side lengths in the same unit. Calculate their sum with automatic triangle-inequality validation.

Result

Enter your data and run the tool. Your result will appear here.

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How to use this calculator

Enter three positive side lengths in the same unit. Calculate their sum with automatic triangle-inequality validation.

Formula and method

P=a+b+c. The longest side must be strictly shorter than the sum of the other two sides.

Worked example

Sides 3, 4 and 5 give a perimeter of 12 units. Sides 1, 2 and 3 lie on a line and do not form a valid triangle.

Limits and interpretation

No height or angles are needed. Convert mixed units first. The result is a length, not an area.

Frequently asked questions

How should I interpret the result?

Sides 3, 4 and 5 give a perimeter of 12 units. Sides 1, 2 and 3 lie on a line and do not form a valid triangle.

What inputs and assumptions are required?

No height or angles are needed. Convert mixed units first. The result is a length, not an area.