Math

Triangle Area Calculator

Area from base and height, or all three sides.

Enter your values

Results update instantly as you type — no submit needed.

Results
Area
26.832816
Perimeter
24
Semi-perimeter
12
Height on side a
7.666519

Working

  1. 1s = 12
  2. 2A = √(12 × 5 × 4 × 3) = 26.8328

Quick answer

Triangle area is ½ × base × height, or Heron's formula √(s(s−a)(s−b)(s−c)) when you only know the three sides.

A = ½bh or √(s(s−a)(s−b)(s−c))

How to use the Triangle Area Calculator

  1. 1Choose whether you know base and height or all three sides.
  2. 2Enter the measurements.
  3. 3Read the area and perimeter.

Frequently asked questions

What is Heron's formula?

A way to get the area from side lengths alone, using the semi-perimeter s = (a+b+c)/2.

Why does my triangle fail?

Any two sides must sum to more than the third — otherwise the shape cannot close.