Classifying Triangles Calculator

Classifying Triangles Calculator

Classify any valid triangle by sides and angles from three side lengths.

Last updated: June 2026 | By Patchworkr Team

Triangle Side Lengths
Triangle Type
-
Enter three valid side lengths
Area
-
Perimeter
-
Angles
-

Enter a real number.

Formulas

Triangle Inequality
a + b > c, a + c > b, b + c > a
Heron’s Formula
A = √[s(s-a)(s-b)(s-c)]

How to Use

Enter three side lengths for a valid triangle. The calculator then classifies by sides, by angles, and computes area and perimeter.

  1. Enter the three sides.
  2. Check that they satisfy the triangle inequality.
  3. Read the combined classification and geometry values.

Example

For sides 3, 4, and 5, the triangle is Scalene Right.

Area is 6 and the angles are approximately 36.869898°, 53.130102°, and 90°.

Notes

The angle calculation uses the law of cosines and clamps the cosine input to avoid NaN from tiny floating-point drift.

Blank, malformed, zero, and impossible side lengths are all rejected before any classification happens.

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