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Triangle Inequality Checker

Check whether three positive side lengths form a nondegenerate triangle. All lengths must use the same unit.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Check.

Your result
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Result will appear here

How Triangle Inequality Checker works

Check whether three positive side lengths form a nondegenerate triangle.

All lengths must use the same unit. Area uses squared units and volume uses cubed units. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Each pair of sides must sum to more than the third. Equality is a degenerate line, not a triangle.

Concept diagram for Triangle Inequality Checker, showing first side input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Triangle Inequality Checker

Follow the labelled inputs.

Enter first side

Replace the example with first side. The field labels specify the expected format and units.

Input and settings
Triangle Inequality Checker: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set second side, third side. All lengths must use the same unit.

Tool result
Triangle Inequality Checker: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Check. Review the triangle validity verdict, then copy it or download the result text.

Review the details
Triangle Inequality Checker: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Triangle Inequality Checker

Check the supplied example

The starting example produces Valid nondegenerate triangle. Check whether three positive side lengths form a nondegenerate triangle.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for first side and second side, third side. All lengths must use the same unit.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the triangle validity verdict into your working file. All lengths must use the same unit.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the triangle validity verdict with the input convention.

Check whether three positive side lengths form a nondegenerate triangle.

All lengths must use the same unit. Area uses squared units and volume uses cubed units. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Each pair of sides must sum to more than the third. Equality is a degenerate line, not a triangle.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

All lengths must use the same unit. Area uses squared units and volume uses cubed units. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Each pair of sides must sum to more than the third. Equality is a degenerate line, not a triangle.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Triangle Inequality Checker: common questions

Answers about using Triangle Inequality Checker and understanding its results.

What assumptions and input limits apply?

All lengths must use the same unit. Area uses squared units and volume uses cubed units. Finite real inputs; output uses up to 12 significant digits. Floating-point results may be rounded. Each pair of sides must sum to more than the third. Equality is a degenerate line, not a triangle.

How can I save the output?

Use Copy result to copy the displayed text, or Download to save it as a text file. The tool runs in your browser and does not require an account.

Check with your input

Check the triangle validity verdict, then copy or download it.

Check