Math calculator

Triangle Calculator

Free Triangle calculator. Calculate area, perimeter, and angles from three side lengths. Use our free online calculator with formulas and step-by-step examples.

Last updated August 24, 2026

Math calculator

Triangle Calculator

Calculate area, perimeter, and angles from three side lengths.

How this calculator works

This calculator finds the area, perimeter, and angles of a triangle from three side lengths. Enter three side lengths to see if they form a valid triangle and get the calculated results. Use it for geometry problems, construction, and design work. The key inputs are three side lengths. The output is the area, perimeter, and three angles. Real-world applications include geometry education, construction, design work, and triangle verification. The calculator validates the triangle inequality, uses Heron's formula for area, and applies the law of cosines for angles. Any side must be shorter than the sum of the other two sides to form a valid triangle. Angles are shown in degrees for readability. This page calculates from three known side lengths only and does not solve for missing sides.

Methodology

The calculator validates the triangle inequality, uses Heron's formula for area, and applies the law of cosines for angles.

Examples

  • Calculate triangle area from three sides.
  • Find perimeter and angles.
  • Check whether side lengths form a valid triangle.

Common questions

What makes three sides invalid?

Any side must be shorter than the sum of the other two sides. If not, the sides cannot form a triangle.

Are angles in degrees?

Yes. The calculator converts radian results to degrees for readability.

Can it solve missing sides?

No. This page calculates from three known side lengths only.