Heron’s Formula: Area of a Triangle

Topic Content:

Heron’s formula is a formula used to calculate the area of a triangle when only the lengths of its three sides are known.

For a triangle ABC, whose sides are a, b and c, respectively, the area of a triangle can be given by;

Area of triangle = \( \scriptsize \sqrt{s(s\:-\:a)(s\:-\:b)(s\:-\:c)} \)

Where s = semi-perimeter.

Semi-perimeter, s = \( \frac{Perimeter\: of \:triangle}{2} \\ = \frac{a+b+c}{2} \)

Example