Triangle Calculator

Enter the three sides of a triangle to get its area, perimeter and type.

Share
Advertisement

What is the Triangle Calculator?

A triangle calculator finds a triangle's area, perimeter and type (equilateral, isosceles or scalene) directly from its three side lengths — no angles required. This kind of calculation underlies land surveying, construction and structural engineering, anywhere a triangular shape's dimensions need to be verified or worked out from measured sides.

How to Calculate

Enter the three side lengths. The calculator first checks they satisfy the triangle inequality (any two sides must add up to more than the third, or no such triangle can exist), then finds the area using Heron's formula — computing the semi-perimeter s (half the perimeter) and taking the square root of s(s−a)(s−b)(s−c) — while comparing the side lengths to classify the triangle's type.

Formula

Area = √(s(s−a)(s−b)(s−c)), where s = (a+b+c)/2

How to Use

  1. Enter your details in the fields above.
  2. The result updates instantly as you type.
  3. Use Copy, Print or Download PDF to save your result.

Frequently Asked Questions

Why do some side lengths give an error?
A triangle can only exist if each side is shorter than the sum of the other two (the triangle inequality). If not, no triangle is possible.
Advertisement
Was this calculator helpful?
Embed this calculator

Copy this code to add the calculator to your own website: