Triangle Inequality Calculator

Triangle Inequality Calculator

Check whether three side lengths can form a triangle.

Last updated: June 2026 | By Patchworkr Team

Triangle Validity Check
Math check: a + b > c, a + c > b, and b + c > a
Result
Enter three positive side lengths to test validity.

Inequalities

Enter all three sides to see the checks.

How to Use It

  1. Enter three positive side lengths.
  2. Read the validity status in the result panel.
  3. Use the inequality lines to see the exact comparisons.

Worked Example

For sides 5, 7, and 11, the checks are 5 + 7 = 12 > 11, 5 + 11 = 16 > 7, and 7 + 11 = 18 > 5.

Because all three are true, the side lengths form a valid triangle.

Notes

A triangle is valid only if each pairwise sum is strictly greater than the remaining side.

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