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Triangle Area (Heron's Formula)

Enter the three sides a, b and c to compute the area of a triangle with Heron's formula. It also shows the perimeter and semi perimeter s, and draws the triangle to scale.

Input

Enter the three sides a, b and c of a triangle to find its area using Heron''s formula.

Result

a = 3b = 4c = 5

Area

6

Perimeter

12

Semi perimeter s

6

The length unit matches the input values and the area is in the squared unit.

How it works

  • The semi perimeter s is computed as s equals (a plus b plus c) divided by 2.
  • The area uses Heron's formula, the square root of s times (s minus a) times (s minus b) times (s minus c).
  • The three sides must be positive and the sum of any two sides must be greater than the remaining side for a valid triangle.
  • The length unit matches the input values and the area is in the squared unit.

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