Area of Triangle Using Heron's Formula

In triangle ABC, the lengths of sides AB, AC, and BC are represented as follows:

• Side AB measures 14 cm,
• Side AC measures 30 cm, and
• Side BC measures 26 cm.

Determine the area of triangle ABC using Heron's formula. First, calculate the semi-perimeter $s$ of triangle ABC, then apply the formula:

$$ A = \sqrt{s(s-a)(s-b)(s-c) } $$

where $a$, $b$, and $c$ are the lengths of the sides of the triangle, and $s = \frac{a + b + c}{2}$.