Mathematics

Heron Formula

Calculate triangle area from all three side lengths.

Area = √[s(s-a)(s-b)(s-c)]; s = (a+b+c)/2

Formula Explanation

Heron formula finds the area without needing the height.

Variables Explained

a, b, c = Side lengths; s = Semi-perimeter.

Solved Example

Find the area of a triangle with sides 3, 4 and 5.
s = 6; Area = √[6 × 3 × 2 × 1] = 6 square units.

Exam Tip

The sum of any two sides must exceed the third side.