The area of a triangle by Heron’s formula is

Concept: If a triangle has three sides $\mathrm{a}, \mathrm{b},$ and $\mathrm{c}$, semi-perimeter, $\mathrm{s}$, and area of triangle $\mathrm{A}$, then the semi-perimeter and area of the triangle are given as:

$\text{s}=\frac{\text{a}+\text{b}+\text{c}}{2}$

Area of triangle $=\sqrt{\text{s}(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}$

Hence, the area of the triangle can be calculated by the formula $\sqrt{\text{s}(\text{s}-\text{a})(\text{s}-\text{b})(\text{s}-\text{c})}$.