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Triangle Area Calculator

Find triangle area from three side lengths using Heron's formula. Validate the triangle and calculate its perimeter.

Area
6 square units
Perimeter
12
Semiperimeter
6

How the calculation works

Semiperimeter p = (a + b + c)/2. Heron's formula: A = √(p(p − a)(p − b)(p − c)).

Inputs

  • Side a
  • Side b
  • Side c

Calculation details

Each side must be shorter than the sum of the other two. Sides 3, 4, and 5 give area 6 and perimeter 12.

Enter all three lengths in the same unit. Centimeter inputs give square centimeters. A numerically stable rearrangement of Heron's formula is used.

Updated: 2026-10-02